Algebra for College Students
10th Edition
ISBN: 9781285195780
Author: Jerome E. Kaufmann, Karen L. Schwitters
Publisher: Cengage Learning
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Chapter 3.3, Problem 37PS
To determine
To find:
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Let
2
A =
4
3
-4
0
1
(a) Show that v =
eigenvalue.
()
is an eigenvector of A and find the corresponding
(b) Find the characteristic polynomial of A and factorise it. Hint: the answer to (a)
may be useful.
(c) Determine all eigenvalues of A and find bases for the corresponding eigenspaces.
(d) Find an invertible matrix P and a diagonal matrix D such that P-¹AP = D.
(c) Let
6
0 0
A =
-10 4 8
5 1 2
(i) Find the characteristic polynomial of A and factorise it.
(ii) Determine all eigenvalues of A and find bases for the corresponding
eigenspaces.
(iii) Is A diagonalisable? Give reasons for your answer.
most 2, and let
Let P2 denote the vector space of polynomials of degree at
D: P2➡ P2
be the transformation that sends a polynomial p(t) = at² + bt+c in P2 to its derivative
p'(t)
2at+b, that is,
D(p) = p'.
(a) Prove that D is a linear transformation.
(b) Find a basis for the kernel ker(D) of the linear transformation D and compute its
nullity.
(c) Find a basis for the image im(D) of the linear transformation D and compute its
rank.
(d) Verify that the Rank-Nullity Theorem holds for the linear transformation D.
(e) Find the matrix representation of D in the standard basis (1,t, t2) of P2.
Chapter 3 Solutions
Algebra for College Students
Ch. 3.1 - For Problems 110, answer true or false. The degree...Ch. 3.1 - Prob. 2CQCh. 3.1 - Prob. 3CQCh. 3.1 - Prob. 4CQCh. 3.1 - Prob. 5CQCh. 3.1 - Prob. 6CQCh. 3.1 - Prob. 7CQCh. 3.1 - Prob. 8CQCh. 3.1 - Prob. 9CQCh. 3.1 - For Problems 110, answer true or false. We can...
Ch. 3.1 - Prob. 1PSCh. 3.1 - Prob. 2PSCh. 3.1 - Prob. 3PSCh. 3.1 - Prob. 4PSCh. 3.1 - Prob. 5PSCh. 3.1 - Prob. 6PSCh. 3.1 - Prob. 7PSCh. 3.1 - Prob. 8PSCh. 3.1 - Prob. 9PSCh. 3.1 - For Problems 110, determine the degree of the...Ch. 3.1 - Prob. 11PSCh. 3.1 - Prob. 12PSCh. 3.1 - Prob. 13PSCh. 3.1 - Prob. 14PSCh. 3.1 - Prob. 15PSCh. 3.1 - Prob. 16PSCh. 3.1 - Prob. 17PSCh. 3.1 - Prob. 18PSCh. 3.1 - Prob. 19PSCh. 3.1 - Prob. 20PSCh. 3.1 - Prob. 21PSCh. 3.1 - Prob. 22PSCh. 3.1 - Prob. 23PSCh. 3.1 - Prob. 24PSCh. 3.1 - Prob. 25PSCh. 3.1 - Prob. 26PSCh. 3.1 - Prob. 27PSCh. 3.1 - Prob. 28PSCh. 3.1 - Prob. 29PSCh. 3.1 - Prob. 30PSCh. 3.1 - Prob. 31PSCh. 3.1 - Prob. 32PSCh. 3.1 - Prob. 33PSCh. 3.1 - Prob. 34PSCh. 3.1 - Prob. 35PSCh. 3.1 - Prob. 36PSCh. 3.1 - Prob. 37PSCh. 3.1 - Prob. 38PSCh. 3.1 - Prob. 39PSCh. 3.1 - Prob. 40PSCh. 3.1 - Prob. 41PSCh. 3.1 - Prob. 42PSCh. 3.1 - Prob. 43PSCh. 3.1 - Prob. 44PSCh. 3.1 - Prob. 45PSCh. 3.1 - Prob. 46PSCh. 3.1 - Prob. 47PSCh. 3.1 - Prob. 48PSCh. 3.1 - Prob. 49PSCh. 3.1 - Prob. 50PSCh. 3.1 - Prob. 51PSCh. 3.1 - Prob. 52PSCh. 3.1 - Prob. 53PSCh. 3.1 - Prob. 54PSCh. 3.1 - Prob. 55PSCh. 3.1 - Prob. 56PSCh. 3.1 - Prob. 57PSCh. 3.1 - Prob. 58PSCh. 3.1 - Prob. 59PSCh. 3.1 - Prob. 60PSCh. 3.1 - Prob. 61PSCh. 3.1 - Prob. 62PSCh. 3.1 - Prob. 63PSCh. 3.1 - Prob. 64PSCh. 3.1 - Prob. 65PSCh. 3.1 - Prob. 66PSCh. 3.1 - Prob. 67PSCh. 3.1 - Prob. 68PSCh. 3.1 - Prob. 69PSCh. 3.1 - Prob. 70PSCh. 3.1 - Prob. 71PSCh. 3.1 - Prob. 72PSCh. 3.1 - Prob. 73PSCh. 3.1 - Prob. 74PSCh. 3.1 - Prob. 75PSCh. 3.1 - Prob. 76PSCh. 3.2 - Prob. 1CQCh. 3.2 - Prob. 2CQCh. 3.2 - Prob. 3CQCh. 3.2 - Prob. 4CQCh. 3.2 - Prob. 5CQCh. 3.2 - Prob. 6CQCh. 3.2 - Prob. 7CQCh. 3.2 - Prob. 8CQCh. 3.2 - Prob. 9CQCh. 3.2 - Prob. 10CQCh. 3.2 - Prob. 1PSCh. 3.2 - Prob. 2PSCh. 3.2 - Prob. 3PSCh. 3.2 - Prob. 4PSCh. 3.2 - Prob. 5PSCh. 3.2 - Prob. 6PSCh. 3.2 - Prob. 7PSCh. 3.2 - Prob. 8PSCh. 3.2 - Prob. 9PSCh. 3.2 - Prob. 10PSCh. 3.2 - Prob. 11PSCh. 3.2 - Prob. 12PSCh. 3.2 - Prob. 13PSCh. 3.2 - Prob. 14PSCh. 3.2 - Prob. 15PSCh. 3.2 - Prob. 16PSCh. 3.2 - Prob. 17PSCh. 3.2 - Prob. 18PSCh. 3.2 - Prob. 19PSCh. 3.2 - Prob. 20PSCh. 3.2 - Prob. 21PSCh. 3.2 - Prob. 22PSCh. 3.2 - Prob. 23PSCh. 3.2 - Prob. 24PSCh. 3.2 - Prob. 25PSCh. 3.2 - Prob. 26PSCh. 3.2 - Prob. 27PSCh. 3.2 - Prob. 28PSCh. 3.2 - Prob. 29PSCh. 3.2 - Prob. 30PSCh. 3.2 - Prob. 31PSCh. 3.2 - Prob. 32PSCh. 3.2 - Prob. 33PSCh. 3.2 - Prob. 34PSCh. 3.2 - Prob. 35PSCh. 3.2 - Prob. 36PSCh. 3.2 - Prob. 37PSCh. 3.2 - Prob. 38PSCh. 3.2 - Prob. 39PSCh. 3.2 - Prob. 40PSCh. 3.2 - Prob. 41PSCh. 3.2 - Prob. 42PSCh. 3.2 - Prob. 43PSCh. 3.2 - Prob. 44PSCh. 3.2 - Prob. 45PSCh. 3.2 - Prob. 46PSCh. 3.2 - Prob. 47PSCh. 3.2 - Prob. 48PSCh. 3.2 - Prob. 49PSCh. 3.2 - Prob. 50PSCh. 3.2 - Prob. 51PSCh. 3.2 - Prob. 52PSCh. 3.2 - Prob. 53PSCh. 3.2 - Prob. 54PSCh. 3.2 - Prob. 55PSCh. 3.2 - Prob. 56PSCh. 3.2 - Prob. 57PSCh. 3.2 - Prob. 58PSCh. 3.2 - Prob. 59PSCh. 3.2 - Prob. 60PSCh. 3.2 - Prob. 61PSCh. 3.2 - Prob. 62PSCh. 3.2 - Prob. 63PSCh. 3.2 - Prob. 64PSCh. 3.2 - Prob. 65PSCh. 3.2 - Prob. 66PSCh. 3.2 - Prob. 67PSCh. 3.2 - Prob. 68PSCh. 3.2 - Prob. 69PSCh. 3.2 - Prob. 70PSCh. 3.2 - Prob. 71PSCh. 3.2 - Prob. 72PSCh. 3.2 - Prob. 73PSCh. 3.2 - Prob. 74PSCh. 3.2 - Prob. 75PSCh. 3.2 - Prob. 76PSCh. 3.2 - Prob. 77PSCh. 3.2 - Prob. 78PSCh. 3.2 - Prob. 79PSCh. 3.2 - Prob. 80PSCh. 3.2 - Prob. 81PSCh. 3.2 - Prob. 82PSCh. 3.2 - Prob. 83PSCh. 3.2 - Prob. 84PSCh. 3.2 - Prob. 85PSCh. 3.2 - Prob. 86PSCh. 3.2 - Prob. 87PSCh. 3.2 - Prob. 88PSCh. 3.2 - Prob. 89PSCh. 3.2 - Prob. 90PSCh. 3.2 - Prob. 91PSCh. 3.2 - Prob. 92PSCh. 3.2 - Prob. 93PSCh. 3.2 - Prob. 94PSCh. 3.2 - Prob. 95PSCh. 3.3 - Concept Quiz 3.3 For Problems 1-10, answer true or...Ch. 3.3 - Prob. 2CQCh. 3.3 - Prob. 3CQCh. 3.3 - Prob. 4CQCh. 3.3 - Prob. 5CQCh. 3.3 - Prob. 6CQCh. 3.3 - Prob. 7CQCh. 3.3 - Prob. 8CQCh. 3.3 - Prob. 9CQCh. 3.3 - Prob. 10CQCh. 3.3 - Prob. 1PSCh. 3.3 - Prob. 2PSCh. 3.3 - Prob. 3PSCh. 3.3 - Prob. 4PSCh. 3.3 - Prob. 5PSCh. 3.3 - Prob. 6PSCh. 3.3 - Prob. 7PSCh. 3.3 - Prob. 8PSCh. 3.3 - Prob. 9PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 11PSCh. 3.3 - Prob. 12PSCh. 3.3 - Prob. 13PSCh. 3.3 - Prob. 14PSCh. 3.3 - Prob. 15PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 17PSCh. 3.3 - Prob. 18PSCh. 3.3 - Prob. 19PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 21PSCh. 3.3 - Prob. 22PSCh. 3.3 - Prob. 23PSCh. 3.3 - Prob. 24PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 26PSCh. 3.3 - Prob. 27PSCh. 3.3 - Prob. 28PSCh. 3.3 - Prob. 29PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 34PSCh. 3.3 - Prob. 35PSCh. 3.3 - Prob. 36PSCh. 3.3 - Prob. 37PSCh. 3.3 - Prob. 38PSCh. 3.3 - Prob. 39PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 41PSCh. 3.3 - Prob. 42PSCh. 3.3 - Prob. 43PSCh. 3.3 - Prob. 44PSCh. 3.3 - Prob. 45PSCh. 3.3 - Prob. 46PSCh. 3.3 - Prob. 47PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 49PSCh. 3.3 - Problem Set 3.3 For Problems 1-74, find each...Ch. 3.3 - Prob. 51PSCh. 3.3 - Prob. 52PSCh. 3.3 - Prob. 53PSCh. 3.3 - Prob. 54PSCh. 3.3 - Prob. 55PSCh. 3.3 - Prob. 56PSCh. 3.3 - Prob. 57PSCh. 3.3 - Prob. 58PSCh. 3.3 - Prob. 59PSCh. 3.3 - For Problems 1-74, find each indicated product....Ch. 3.3 - Prob. 61PSCh. 3.3 - Prob. 62PSCh. 3.3 - Prob. 63PSCh. 3.3 - Prob. 64PSCh. 3.3 - Prob. 65PSCh. 3.3 - Prob. 66PSCh. 3.3 - Prob. 67PSCh. 3.3 - Prob. 68PSCh. 3.3 - Prob. 69PSCh. 3.3 - For Problems 1-74, find each indicated product....Ch. 3.3 - Prob. 71PSCh. 3.3 - Prob. 72PSCh. 3.3 - Prob. 73PSCh. 3.3 - Prob. 74PSCh. 3.3 - Prob. 75PSCh. 3.3 - Prob. 76PSCh. 3.3 - Prob. 77PSCh. 3.3 - Prob. 78PSCh. 3.3 - Prob. 79PSCh. 3.3 - Problem Set 3.3 For Problems 75-84, find the...Ch. 3.3 - Prob. 81PSCh. 3.3 - Prob. 82PSCh. 3.3 - Prob. 83PSCh. 3.3 - Prob. 84PSCh. 3.3 - Prob. 85PSCh. 3.3 - Prob. 86PSCh. 3.3 - Prob. 87PSCh. 3.3 - Prob. 88PSCh. 3.3 - Prob. 89PSCh. 3.3 - Prob. 90PSCh. 3.3 - Prob. 91PSCh. 3.3 - Prob. 92PSCh. 3.3 - Prob. 93PSCh. 3.3 - Prob. 94PSCh. 3.3 - Prob. 95PSCh. 3.3 - Prob. 96PSCh. 3.3 - Prob. 97PSCh. 3.4 - Prob. 1CQCh. 3.4 - Prob. 2CQCh. 3.4 - Prob. 3CQCh. 3.4 - Prob. 4CQCh. 3.4 - Prob. 5CQCh. 3.4 - Prob. 6CQCh. 3.4 - Prob. 7CQCh. 3.4 - Prob. 8CQCh. 3.4 - Prob. 9CQCh. 3.4 - Prob. 10CQCh. 3.4 - Prob. 1PSCh. 3.4 - Prob. 2PSCh. 3.4 - Prob. 3PSCh. 3.4 - Prob. 4PSCh. 3.4 - Prob. 5PSCh. 3.4 - Prob. 6PSCh. 3.4 - Prob. 7PSCh. 3.4 - Prob. 8PSCh. 3.4 - Prob. 9PSCh. 3.4 - Prob. 10PSCh. 3.4 - Prob. 11PSCh. 3.4 - Prob. 12PSCh. 3.4 - Prob. 13PSCh. 3.4 - Prob. 14PSCh. 3.4 - Prob. 15PSCh. 3.4 - Prob. 16PSCh. 3.4 - Prob. 17PSCh. 3.4 - Prob. 18PSCh. 3.4 - Prob. 19PSCh. 3.4 - Prob. 20PSCh. 3.4 - Prob. 21PSCh. 3.4 - Prob. 22PSCh. 3.4 - Prob. 23PSCh. 3.4 - Prob. 24PSCh. 3.4 - Prob. 25PSCh. 3.4 - Prob. 26PSCh. 3.4 - Prob. 27PSCh. 3.4 - Prob. 28PSCh. 3.4 - Prob. 29PSCh. 3.4 - Prob. 30PSCh. 3.4 - Prob. 31PSCh. 3.4 - Prob. 32PSCh. 3.4 - Prob. 33PSCh. 3.4 - Prob. 34PSCh. 3.4 - Prob. 35PSCh. 3.4 - Prob. 36PSCh. 3.4 - Prob. 37PSCh. 3.4 - Prob. 38PSCh. 3.4 - Prob. 39PSCh. 3.4 - Prob. 40PSCh. 3.4 - Prob. 41PSCh. 3.4 - Prob. 42PSCh. 3.4 - Prob. 43PSCh. 3.4 - Prob. 44PSCh. 3.4 - Prob. 45PSCh. 3.4 - Prob. 46PSCh. 3.4 - Prob. 47PSCh. 3.4 - Prob. 48PSCh. 3.4 - Prob. 49PSCh. 3.4 - Prob. 50PSCh. 3.4 - Prob. 51PSCh. 3.4 - Prob. 52PSCh. 3.4 - Prob. 53PSCh. 3.4 - Prob. 54PSCh. 3.4 - Prob. 55PSCh. 3.4 - Prob. 56PSCh. 3.4 - Prob. 57PSCh. 3.4 - Prob. 58PSCh. 3.4 - Prob. 59PSCh. 3.4 - Prob. 60PSCh. 3.4 - Prob. 61PSCh. 3.4 - Prob. 62PSCh. 3.4 - Prob. 63PSCh. 3.4 - Prob. 64PSCh. 3.4 - Prob. 65PSCh. 3.4 - Prob. 66PSCh. 3.4 - Prob. 67PSCh. 3.4 - Prob. 68PSCh. 3.4 - Prob. 69PSCh. 3.4 - Prob. 70PSCh. 3.4 - Prob. 71PSCh. 3.4 - Prob. 72PSCh. 3.4 - Prob. 73PSCh. 3.4 - Prob. 74PSCh. 3.4 - Prob. 75PSCh. 3.4 - Prob. 76PSCh. 3.4 - Prob. 77PSCh. 3.4 - Prob. 78PSCh. 3.4 - Prob. 79PSCh. 3.4 - Prob. 80PSCh. 3.4 - Prob. 81PSCh. 3.4 - Prob. 82PSCh. 3.4 - Prob. 83PSCh. 3.4 - Prob. 84PSCh. 3.4 - Prob. 85PSCh. 3.4 - Prob. 86PSCh. 3.4 - Prob. 87PSCh. 3.4 - Prob. 88PSCh. 3.4 - Prob. 89PSCh. 3.4 - Prob. 90PSCh. 3.4 - Prob. 91PSCh. 3.4 - Prob. 92PSCh. 3.4 - Prob. 93PSCh. 3.4 - Prob. 94PSCh. 3.4 - Prob. 95PSCh. 3.4 - Prob. 96PSCh. 3.4 - Prob. 97PSCh. 3.4 - Suppose that your friend factors 36x2y+48xy2 as...Ch. 3.4 - Prob. 99PSCh. 3.4 - Prob. 100PSCh. 3.4 - Prob. 101PSCh. 3.4 - Prob. 102PSCh. 3.4 - Prob. 103PSCh. 3.4 - Prob. 104PSCh. 3.4 - Prob. 105PSCh. 3.4 - Prob. 106PSCh. 3.4 - Prob. 107PSCh. 3.4 - Prob. 108PSCh. 3.5 - For Problems 110, answer true or false. A binomial...Ch. 3.5 - Prob. 2CQCh. 3.5 - Prob. 3CQCh. 3.5 - Prob. 4CQCh. 3.5 - Prob. 5CQCh. 3.5 - Prob. 6CQCh. 3.5 - Prob. 7CQCh. 3.5 - Prob. 8CQCh. 3.5 - Prob. 9CQCh. 3.5 - Prob. 10CQCh. 3.5 - Prob. 1PSCh. 3.5 - Prob. 2PSCh. 3.5 - Prob. 3PSCh. 3.5 - Prob. 4PSCh. 3.5 - Prob. 5PSCh. 3.5 - Prob. 6PSCh. 3.5 - Prob. 7PSCh. 3.5 - Prob. 8PSCh. 3.5 - Prob. 9PSCh. 3.5 - Prob. 10PSCh. 3.5 - Prob. 11PSCh. 3.5 - Prob. 12PSCh. 3.5 - Prob. 13PSCh. 3.5 - Prob. 14PSCh. 3.5 - Prob. 15PSCh. 3.5 - Prob. 16PSCh. 3.5 - Prob. 17PSCh. 3.5 - Prob. 18PSCh. 3.5 - Prob. 19PSCh. 3.5 - Prob. 20PSCh. 3.5 - Prob. 21PSCh. 3.5 - Prob. 22PSCh. 3.5 - Prob. 23PSCh. 3.5 - Prob. 24PSCh. 3.5 - Prob. 25PSCh. 3.5 - Prob. 26PSCh. 3.5 - Prob. 27PSCh. 3.5 - Prob. 28PSCh. 3.5 - Prob. 29PSCh. 3.5 - Prob. 30PSCh. 3.5 - Prob. 31PSCh. 3.5 - Prob. 32PSCh. 3.5 - Prob. 33PSCh. 3.5 - Prob. 34PSCh. 3.5 - Prob. 35PSCh. 3.5 - Prob. 36PSCh. 3.5 - Prob. 37PSCh. 3.5 - Prob. 38PSCh. 3.5 - Prob. 39PSCh. 3.5 - Prob. 40PSCh. 3.5 - Prob. 41PSCh. 3.5 - Prob. 42PSCh. 3.5 - Prob. 43PSCh. 3.5 - Prob. 44PSCh. 3.5 - Prob. 45PSCh. 3.5 - Prob. 46PSCh. 3.5 - Prob. 47PSCh. 3.5 - Prob. 48PSCh. 3.5 - Prob. 49PSCh. 3.5 - Prob. 50PSCh. 3.5 - Prob. 51PSCh. 3.5 - Prob. 52PSCh. 3.5 - Prob. 53PSCh. 3.5 - Prob. 54PSCh. 3.5 - Prob. 55PSCh. 3.5 - Prob. 56PSCh. 3.5 - Prob. 57PSCh. 3.5 - Prob. 58PSCh. 3.5 - Prob. 59PSCh. 3.5 - Prob. 60PSCh. 3.5 - Prob. 61PSCh. 3.5 - Prob. 62PSCh. 3.5 - Prob. 63PSCh. 3.5 - Prob. 64PSCh. 3.5 - Prob. 65PSCh. 3.5 - Prob. 66PSCh. 3.5 - Prob. 67PSCh. 3.5 - Prob. 68PSCh. 3.5 - Prob. 69PSCh. 3.5 - Prob. 70PSCh. 3.5 - Prob. 71PSCh. 3.5 - Prob. 72PSCh. 3.5 - Prob. 73PSCh. 3.5 - Prob. 74PSCh. 3.5 - Prob. 75PSCh. 3.5 - For Problems 6982, find all real number solutions...Ch. 3.5 - Prob. 77PSCh. 3.5 - Prob. 78PSCh. 3.5 - Prob. 79PSCh. 3.5 - Prob. 80PSCh. 3.5 - Prob. 81PSCh. 3.5 - Prob. 82PSCh. 3.5 - Prob. 83PSCh. 3.5 - Prob. 84PSCh. 3.5 - For Problems 8392, set up an equation and solve...Ch. 3.5 - Prob. 86PSCh. 3.5 - Prob. 87PSCh. 3.5 - For Problems 8392, set up an equation and solve...Ch. 3.5 - Prob. 89PSCh. 3.5 - Prob. 90PSCh. 3.5 - Prob. 91PSCh. 3.5 - Prob. 92PSCh. 3.5 - Prob. 93PSCh. 3.5 - Prob. 94PSCh. 3.5 - Prob. 95PSCh. 3.6 - Prob. 1CQCh. 3.6 - Prob. 2CQCh. 3.6 - Prob. 3CQCh. 3.6 - Prob. 4CQCh. 3.6 - Prob. 5CQCh. 3.6 - Prob. 6CQCh. 3.6 - Prob. 7CQCh. 3.6 - Prob. 8CQCh. 3.6 - Prob. 9CQCh. 3.6 - Prob. 10CQCh. 3.6 - Prob. 1PSCh. 3.6 - Prob. 2PSCh. 3.6 - Prob. 3PSCh. 3.6 - Prob. 4PSCh. 3.6 - Prob. 5PSCh. 3.6 - Prob. 6PSCh. 3.6 - Prob. 7PSCh. 3.6 - Prob. 8PSCh. 3.6 - Prob. 9PSCh. 3.6 - Prob. 10PSCh. 3.6 - Prob. 11PSCh. 3.6 - Prob. 12PSCh. 3.6 - Prob. 13PSCh. 3.6 - Prob. 14PSCh. 3.6 - Prob. 15PSCh. 3.6 - Prob. 16PSCh. 3.6 - Prob. 17PSCh. 3.6 - Prob. 18PSCh. 3.6 - Prob. 19PSCh. 3.6 - Prob. 20PSCh. 3.6 - Prob. 21PSCh. 3.6 - Prob. 22PSCh. 3.6 - Prob. 23PSCh. 3.6 - Prob. 24PSCh. 3.6 - Prob. 25PSCh. 3.6 - Prob. 26PSCh. 3.6 - Prob. 27PSCh. 3.6 - Prob. 28PSCh. 3.6 - Prob. 29PSCh. 3.6 - Prob. 30PSCh. 3.6 - Prob. 31PSCh. 3.6 - Prob. 32PSCh. 3.6 - Prob. 33PSCh. 3.6 - Prob. 34PSCh. 3.6 - Prob. 35PSCh. 3.6 - Prob. 36PSCh. 3.6 - Prob. 37PSCh. 3.6 - Prob. 38PSCh. 3.6 - Prob. 39PSCh. 3.6 - Prob. 40PSCh. 3.6 - Prob. 41PSCh. 3.6 - Prob. 42PSCh. 3.6 - Prob. 43PSCh. 3.6 - Prob. 44PSCh. 3.6 - Prob. 45PSCh. 3.6 - Prob. 46PSCh. 3.6 - Prob. 47PSCh. 3.6 - Prob. 48PSCh. 3.6 - Prob. 49PSCh. 3.6 - Prob. 50PSCh. 3.6 - Prob. 51PSCh. 3.6 - Prob. 52PSCh. 3.6 - Prob. 53PSCh. 3.6 - Prob. 54PSCh. 3.6 - Prob. 55PSCh. 3.6 - Prob. 56PSCh. 3.6 - Prob. 57PSCh. 3.6 - Prob. 58PSCh. 3.6 - Prob. 59PSCh. 3.6 - Prob. 60PSCh. 3.6 - Prob. 61PSCh. 3.6 - Prob. 62PSCh. 3.6 - Prob. 63PSCh. 3.6 - Prob. 64PSCh. 3.6 - Prob. 65PSCh. 3.6 - Prob. 66PSCh. 3.6 - Prob. 67PSCh. 3.6 - Prob. 68PSCh. 3.6 - Prob. 69PSCh. 3.6 - Prob. 70PSCh. 3.6 - Prob. 71PSCh. 3.6 - Prob. 72PSCh. 3.6 - Prob. 73PSCh. 3.6 - Prob. 74PSCh. 3.6 - Prob. 75PSCh. 3.6 - Prob. 76PSCh. 3.6 - Prob. 77PSCh. 3.6 - Prob. 78PSCh. 3.6 - Prob. 79PSCh. 3.6 - Prob. 80PSCh. 3.6 - Prob. 81PSCh. 3.6 - Prob. 82PSCh. 3.6 - Prob. 83PSCh. 3.6 - Prob. 84PSCh. 3.6 - Prob. 85PSCh. 3.6 - Prob. 86PSCh. 3.6 - Prob. 87PSCh. 3.6 - Prob. 88PSCh. 3.6 - Prob. 89PSCh. 3.6 - Prob. 90PSCh. 3.6 - Prob. 91PSCh. 3.6 - Prob. 92PSCh. 3.6 - Prob. 93PSCh. 3.6 - Prob. 94PSCh. 3.6 - Prob. 95PSCh. 3.6 - Prob. 96PSCh. 3.6 - Prob. 97PSCh. 3.6 - Prob. 98PSCh. 3.6 - Prob. 99PSCh. 3.6 - Prob. 100PSCh. 3.6 - Prob. 101PSCh. 3.6 - Prob. 102PSCh. 3.6 - Prob. 103PSCh. 3.6 - Prob. 104PSCh. 3.6 - Prob. 105PSCh. 3.6 - Prob. 106PSCh. 3.6 - Prob. 107PSCh. 3.6 - Prob. 108PSCh. 3.6 - Prob. 109PSCh. 3.6 - Prob. 110PSCh. 3.6 - Prob. 111PSCh. 3.6 - Prob. 112PSCh. 3.6 - Prob. 113PSCh. 3.6 - Prob. 114PSCh. 3.6 - Prob. 115PSCh. 3.6 - Prob. 116PSCh. 3.6 - Prob. 117PSCh. 3.6 - Prob. 118PSCh. 3.6 - Prob. 119PSCh. 3.6 - Prob. 120PSCh. 3.6 - Prob. 121PSCh. 3.6 - Prob. 122PSCh. 3.6 - Prob. 123PSCh. 3.6 - Prob. 124PSCh. 3.6 - Prob. 125PSCh. 3.6 - Prob. 126PSCh. 3.6 - Prob. 127PSCh. 3.7 - For problems 1-5, answer true or false. If xy=0,...Ch. 3.7 - Prob. 2CQCh. 3.7 - Prob. 3CQCh. 3.7 - Prob. 4CQCh. 3.7 - Prob. 5CQCh. 3.7 - Prob. 1PSCh. 3.7 - Prob. 2PSCh. 3.7 - Prob. 3PSCh. 3.7 - Prob. 4PSCh. 3.7 - Prob. 5PSCh. 3.7 - Prob. 6PSCh. 3.7 - Prob. 7PSCh. 3.7 - Prob. 8PSCh. 3.7 - Prob. 9PSCh. 3.7 - Prob. 10PSCh. 3.7 - Prob. 11PSCh. 3.7 - Prob. 12PSCh. 3.7 - Prob. 13PSCh. 3.7 - Prob. 14PSCh. 3.7 - Prob. 15PSCh. 3.7 - Prob. 16PSCh. 3.7 - Prob. 17PSCh. 3.7 - Prob. 18PSCh. 3.7 - Prob. 19PSCh. 3.7 - Prob. 20PSCh. 3.7 - Prob. 21PSCh. 3.7 - Prob. 22PSCh. 3.7 - Prob. 23PSCh. 3.7 - Prob. 24PSCh. 3.7 - Prob. 25PSCh. 3.7 - Prob. 26PSCh. 3.7 - Prob. 27PSCh. 3.7 - Prob. 28PSCh. 3.7 - Prob. 29PSCh. 3.7 - Prob. 30PSCh. 3.7 - Prob. 31PSCh. 3.7 - Prob. 32PSCh. 3.7 - Prob. 33PSCh. 3.7 - Prob. 34PSCh. 3.7 - Prob. 35PSCh. 3.7 - Prob. 36PSCh. 3.7 - Prob. 37PSCh. 3.7 - Prob. 38PSCh. 3.7 - Prob. 39PSCh. 3.7 - Prob. 40PSCh. 3.7 - Prob. 41PSCh. 3.7 - Prob. 42PSCh. 3.7 - Prob. 43PSCh. 3.7 - Prob. 44PSCh. 3.7 - Prob. 45PSCh. 3.7 - Prob. 46PSCh. 3.7 - Prob. 47PSCh. 3.7 - Prob. 48PSCh. 3.7 - Prob. 49PSCh. 3.7 - Prob. 50PSCh. 3.7 - Prob. 51PSCh. 3.7 - Prob. 52PSCh. 3.7 - Prob. 53PSCh. 3.7 - Prob. 54PSCh. 3.7 - Prob. 55PSCh. 3.7 - Prob. 56PSCh. 3.7 - Prob. 57PSCh. 3.7 - Prob. 58PSCh. 3.7 - Prob. 59PSCh. 3.7 - Prob. 60PSCh. 3.7 - Prob. 61PSCh. 3.7 - Prob. 62PSCh. 3.7 - Prob. 63PSCh. 3.7 - Prob. 64PSCh. 3.7 - Prob. 65PSCh. 3.7 - Prob. 66PSCh. 3.7 - Prob. 67PSCh. 3.7 - Prob. 68PSCh. 3.7 - Prob. 69PSCh. 3.7 - Prob. 70PSCh. 3.7 - Prob. 71PSCh. 3.7 - Prob. 72PSCh. 3.7 - Prob. 73PSCh. 3.7 - Prob. 74PSCh. 3.S - Prob. 1SCh. 3.S - Prob. 2SCh. 3.S - Prob. 3SCh. 3.S - Prob. 4SCh. 3.S - Prob. 5SCh. 3.S - Prob. 6SCh. 3.S - Prob. 7SCh. 3.S - Prob. 8SCh. 3.S - Prob. 9SCh. 3.S - Prob. 10SCh. 3.S - Prob. 11SCh. 3.S - Prob. 12SCh. 3.S - Prob. 13SCh. 3.S - Prob. 14SCh. 3.S - Prob. 15SCh. 3.S - Prob. 16SCh. 3.S - Prob. 17SCh. 3.S - Prob. 18SCh. 3.S - Prob. 19SCh. 3.S - Prob. 20SCh. 3.S - Prob. 21SCh. 3.S - Prob. 22SCh. 3.CR - Prob. 1CRCh. 3.CR - Prob. 2CRCh. 3.CR - Prob. 3CRCh. 3.CR - Prob. 4CRCh. 3.CR - Prob. 5CRCh. 3.CR - Prob. 6CRCh. 3.CR - Prob. 7CRCh. 3.CR - Prob. 8CRCh. 3.CR - Prob. 9CRCh. 3.CR - Prob. 10CRCh. 3.CR - Prob. 11CRCh. 3.CR - Prob. 12CRCh. 3.CR - Prob. 13CRCh. 3.CR - Prob. 14CRCh. 3.CR - Prob. 15CRCh. 3.CR - Prob. 16CRCh. 3.CR - Prob. 17CRCh. 3.CR - Prob. 18CRCh. 3.CR - Prob. 19CRCh. 3.CR - Prob. 20CRCh. 3.CR - Prob. 21CRCh. 3.CR - Prob. 22CRCh. 3.CR - Prob. 23CRCh. 3.CR - Prob. 24CRCh. 3.CR - Prob. 25CRCh. 3.CR - Prob. 26CRCh. 3.CR - Prob. 27CRCh. 3.CR - Prob. 28CRCh. 3.CR - Prob. 29CRCh. 3.CR - Prob. 30CRCh. 3.CR - Prob. 31CRCh. 3.CR - Prob. 32CRCh. 3.CR - Prob. 33CRCh. 3.CR - Prob. 34CRCh. 3.CR - Prob. 35CRCh. 3.CR - Prob. 36CRCh. 3.CR - For Problems 5 40, perform the indicated...Ch. 3.CR - Prob. 38CRCh. 3.CR - Prob. 39CRCh. 3.CR - Prob. 40CRCh. 3.CR - Prob. 41CRCh. 3.CR - Prob. 42CRCh. 3.CR - Prob. 43CRCh. 3.CR - Prob. 44CRCh. 3.CR - Prob. 45CRCh. 3.CR - Prob. 46CRCh. 3.CR - Prob. 47CRCh. 3.CR - Prob. 48CRCh. 3.CR - Prob. 49CRCh. 3.CR - Prob. 50CRCh. 3.CR - Prob. 51CRCh. 3.CR - Prob. 52CRCh. 3.CR - Prob. 53CRCh. 3.CR - Prob. 54CRCh. 3.CR - Prob. 55CRCh. 3.CR - Prob. 56CRCh. 3.CR - Prob. 57CRCh. 3.CR - Prob. 58CRCh. 3.CR - Prob. 59CRCh. 3.CR - Prob. 60CRCh. 3.CR - Prob. 61CRCh. 3.CR - Prob. 62CRCh. 3.CR - Prob. 63CRCh. 3.CR - Prob. 64CRCh. 3.CR - Prob. 65CRCh. 3.CR - Prob. 66CRCh. 3.CR - Prob. 67CRCh. 3.CR - Prob. 68CRCh. 3.CR - Prob. 69CRCh. 3.CR - Prob. 70CRCh. 3.CR - Prob. 71CRCh. 3.CR - Prob. 72CRCh. 3.CR - Prob. 73CRCh. 3.CR - Prob. 74CRCh. 3.CR - Prob. 75CRCh. 3.CR - Prob. 76CRCh. 3.CR - Prob. 77CRCh. 3.CR - Prob. 78CRCh. 3.CR - Prob. 79CRCh. 3.CR - Prob. 80CRCh. 3.CR - Prob. 81CRCh. 3.CR - Prob. 82CRCh. 3.CR - Prob. 83CRCh. 3.CR - Prob. 84CRCh. 3.CR - Prob. 85CRCh. 3.CR - Prob. 86CRCh. 3.CR - Prob. 87CRCh. 3.CR - Prob. 88CRCh. 3.CR - Prob. 89CRCh. 3.CR - Prob. 90CRCh. 3.CR - Prob. 91CRCh. 3.CR - Prob. 92CRCh. 3.CR - Prob. 93CRCh. 3.CR - Prob. 94CRCh. 3.CR - Prob. 95CRCh. 3.CR - Prob. 96CRCh. 3.CR - Prob. 97CRCh. 3.CR - Prob. 98CRCh. 3.CR - Prob. 99CRCh. 3.CR - Prob. 100CRCh. 3.CR - Prob. 101CRCh. 3.CR - Prob. 102CRCh. 3.CR - Prob. 103CRCh. 3.CR - Prob. 104CRCh. 3.CR - Prob. 105CRCh. 3.CR - For Problems 105 114, set up an equation and solve...Ch. 3.CR - Prob. 107CRCh. 3.CR - For Problems 105 114, set up an equation and solve...Ch. 3.CR - Prob. 109CRCh. 3.CR - Prob. 110CRCh. 3.CR - Prob. 111CRCh. 3.CR - Prob. 112CRCh. 3.CR - Prob. 113CRCh. 3.CR - Prob. 114CRCh. 3.CT - Prob. 1CTCh. 3.CT - Prob. 2CTCh. 3.CT - Prob. 3CTCh. 3.CT - Prob. 4CTCh. 3.CT - Prob. 5CTCh. 3.CT - Prob. 6CTCh. 3.CT - Prob. 7CTCh. 3.CT - Prob. 8CTCh. 3.CT - Prob. 9CTCh. 3.CT - Prob. 10CTCh. 3.CT - Prob. 11CTCh. 3.CT - Prob. 12CTCh. 3.CT - Prob. 13CTCh. 3.CT - Prob. 14CTCh. 3.CT - Prob. 15CTCh. 3.CT - Prob. 16CTCh. 3.CT - Prob. 17CTCh. 3.CT - Prob. 18CTCh. 3.CT - Prob. 19CTCh. 3.CT - Prob. 20CTCh. 3.CT - Prob. 21CTCh. 3.CT - Prob. 22CTCh. 3.CT - Prob. 23CTCh. 3.CT - Prob. 24CTCh. 3.CT - For Problems 23-25, set up an equation and solve...
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