Algebra for College Students
10th Edition
ISBN: 9781285195780
Author: Jerome E. Kaufmann, Karen L. Schwitters
Publisher: Cengage Learning
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Question
Chapter 1.4, Problem 63PS
To determine
To evaluate:
The given algebraic expression
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Students have asked these similar questions
(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.
(c) Let
A =
-1 3
-4 12
3
3
-9
(i) Find bases for row(A), col(A) and N(A).
(ii) Determine the rank and nullity of A, and verify that the Rank-Nullity
Theorem holds for the above matrix A.
Chapter 1 Solutions
Algebra for College Students
Ch. 1.M1 - For Problems 1 4, label the number as prime or...Ch. 1.M1 - For Problems 1 4, label the number as prime or...Ch. 1.M1 - For Problems 1 4, label the number as prime or...Ch. 1.M1 - For Problems 1 4, label the number as prime or...Ch. 1.M1 - For Problems 5 7, factor the composite number...Ch. 1.M1 - For Problems 5 7, factor the composite number...Ch. 1.M1 - For Problems 5 7, factor the composite number...Ch. 1.M1 - For Problems 8 10, find the least common multiple...Ch. 1.M1 - For Problems 8 10, find the least common multiple...Ch. 1.M1 - For Problems 8 10, find the least common multiple...
Ch. 1.M2 - For Problems 1 3, reduce the fraction to the...Ch. 1.M2 - Prob. 2MSCh. 1.M2 - Prob. 3MSCh. 1.M2 - Prob. 4MSCh. 1.M2 - Prob. 5MSCh. 1.M2 - Prob. 6MSCh. 1.M2 - Prob. 7MSCh. 1.M2 - Prob. 8MSCh. 1.M2 - Prob. 9MSCh. 1.M2 - Prob. 10MSCh. 1.M3 - Adding and Subtracting Fractions For Problems 1 ...Ch. 1.M3 - Prob. 2MSCh. 1.M3 - Prob. 3MSCh. 1.M3 - Adding and Subtracting Fractions For Problems 1 ...Ch. 1.M3 - Prob. 5MSCh. 1.M3 - Prob. 6MSCh. 1.M3 - Prob. 7MSCh. 1.M3 - Prob. 8MSCh. 1.M3 - Prob. 9MSCh. 1.M3 - Prob. 10MSCh. 1.M4 - Prob. 1MSCh. 1.M4 - Prob. 2MSCh. 1.M4 - Prob. 3MSCh. 1.M4 - Prob. 4MSCh. 1.M4 - Prob. 5MSCh. 1.M4 - Prob. 6MSCh. 1.M4 - Prob. 7MSCh. 1.M4 - Prob. 8MSCh. 1.M4 - Prob. 9MSCh. 1.M4 - Prob. 10MSCh. 1.0 - Prob. 1PSCh. 1.0 - Prob. 2PSCh. 1.0 - Prob. 3PSCh. 1.0 - Prob. 4PSCh. 1.0 - Prob. 5PSCh. 1.0 - Prob. 6PSCh. 1.0 - Prob. 7PSCh. 1.0 - Prob. 8PSCh. 1.0 - Prob. 9PSCh. 1.0 - Prob. 10PSCh. 1.0 - Prob. 11PSCh. 1.0 - Prob. 12PSCh. 1.0 - Prob. 13PSCh. 1.0 - Prob. 14PSCh. 1.0 - Prob. 15PSCh. 1.0 - Prob. 16PSCh. 1.0 - Prob. 17PSCh. 1.0 - Prob. 18PSCh. 1.0 - Prob. 19PSCh. 1.0 - Prob. 20PSCh. 1.0 - Prob. 21PSCh. 1.0 - Prob. 22PSCh. 1.0 - Prob. 23PSCh. 1.0 - Prob. 24PSCh. 1.0 - Prob. 25PSCh. 1.0 - Prob. 26PSCh. 1.0 - Prob. 27PSCh. 1.0 - Prob. 28PSCh. 1.0 - Prob. 29PSCh. 1.0 - Prob. 30PSCh. 1.0 - Prob. 31PSCh. 1.0 - Prob. 32PSCh. 1.0 - Prob. 33PSCh. 1.0 - Prob. 34PSCh. 1.0 - Prob. 35PSCh. 1.0 - Prob. 36PSCh. 1.0 - Prob. 37PSCh. 1.0 - Prob. 38PSCh. 1.0 - Prob. 39PSCh. 1.0 - Prob. 40PSCh. 1.0 - Prob. 41PSCh. 1.0 - Prob. 42PSCh. 1.0 - Prob. 43PSCh. 1.0 - Prob. 44PSCh. 1.0 - Prob. 45PSCh. 1.0 - Prob. 46PSCh. 1.0 - Prob. 47PSCh. 1.0 - Prob. 48PSCh. 1.0 - Prob. 49PSCh. 1.0 - Prob. 50PSCh. 1.0 - Prob. 51PSCh. 1.0 - Prob. 52PSCh. 1.0 - Prob. 53PSCh. 1.0 - Prob. 54PSCh. 1.0 - Prob. 55PSCh. 1.0 - Prob. 56PSCh. 1.0 - Prob. 57PSCh. 1.0 - Prob. 58PSCh. 1.0 - Prob. 59PSCh. 1.0 - Prob. 60PSCh. 1.0 - Prob. 61PSCh. 1.0 - Prob. 62PSCh. 1.0 - Prob. 63PSCh. 1.0 - Prob. 64PSCh. 1.0 - Prob. 65PSCh. 1.0 - Prob. 66PSCh. 1.0 - Prob. 67PSCh. 1.0 - Prob. 68PSCh. 1.0 - Prob. 69PSCh. 1.0 - Prob. 70PSCh. 1.1 - For Problems 1-10, answer true or false. The...Ch. 1.1 - Prob. 2CQCh. 1.1 - For Problems 1-10, answer true or false. The sets...Ch. 1.1 - Prob. 4CQCh. 1.1 - Prob. 5CQCh. 1.1 - Prob. 6CQCh. 1.1 - Prob. 7CQCh. 1.1 - Prob. 8CQCh. 1.1 - Prob. 9CQCh. 1.1 - Prob. 10CQCh. 1.1 - Prob. 1PSCh. 1.1 - Prob. 2PSCh. 1.1 - Prob. 3PSCh. 1.1 - Prob. 4PSCh. 1.1 - Prob. 5PSCh. 1.1 - Prob. 6PSCh. 1.1 - Prob. 7PSCh. 1.1 - Prob. 8PSCh. 1.1 - Prob. 9PSCh. 1.1 - Prob. 10PSCh. 1.1 - Prob. 11PSCh. 1.1 - Prob. 12PSCh. 1.1 - Prob. 13PSCh. 1.1 - Prob. 14PSCh. 1.1 - Prob. 15PSCh. 1.1 - Prob. 16PSCh. 1.1 - Prob. 17PSCh. 1.1 - Prob. 18PSCh. 1.1 - Prob. 19PSCh. 1.1 - Prob. 20PSCh. 1.1 - Prob. 21PSCh. 1.1 - Prob. 22PSCh. 1.1 - Prob. 23PSCh. 1.1 - Prob. 24PSCh. 1.1 - Prob. 25PSCh. 1.1 - Prob. 26PSCh. 1.1 - Prob. 27PSCh. 1.1 - Prob. 28PSCh. 1.1 - Prob. 29PSCh. 1.1 - Prob. 30PSCh. 1.1 - Prob. 31PSCh. 1.1 - Prob. 32PSCh. 1.1 - Prob. 33PSCh. 1.1 - Prob. 34PSCh. 1.1 - Prob. 35PSCh. 1.1 - Prob. 36PSCh. 1.1 - Prob. 37PSCh. 1.1 - Prob. 38PSCh. 1.1 - Prob. 39PSCh. 1.1 - Prob. 40PSCh. 1.1 - Prob. 41PSCh. 1.1 - Prob. 42PSCh. 1.1 - Prob. 43PSCh. 1.1 - Prob. 44PSCh. 1.1 - Prob. 45PSCh. 1.1 - Prob. 46PSCh. 1.1 - Prob. 47PSCh. 1.1 - Prob. 48PSCh. 1.1 - Prob. 49PSCh. 1.1 - Prob. 50PSCh. 1.1 - Prob. 51PSCh. 1.1 - Prob. 52PSCh. 1.1 - Prob. 53PSCh. 1.1 - Prob. 54PSCh. 1.1 - Prob. 55PSCh. 1.1 - Prob. 56PSCh. 1.1 - Prob. 57PSCh. 1.1 - Prob. 58PSCh. 1.1 - Prob. 59PSCh. 1.1 - Prob. 60PSCh. 1.1 - Prob. 61PSCh. 1.1 - Prob. 62PSCh. 1.1 - Prob. 63PSCh. 1.1 - Prob. 64PSCh. 1.1 - Prob. 65PSCh. 1.1 - Prob. 66PSCh. 1.1 - Prob. 67PSCh. 1.1 - Prob. 68PSCh. 1.1 - Prob. 69PSCh. 1.1 - Prob. 70PSCh. 1.1 - Prob. 71PSCh. 1.1 - Prob. 72PSCh. 1.1 - Prob. 73PSCh. 1.1 - Prob. 74PSCh. 1.1 - Prob. 75PSCh. 1.1 - Prob. 76PSCh. 1.1 - Prob. 77PSCh. 1.1 - Prob. 78PSCh. 1.1 - Prob. 80PSCh. 1.1 - Prob. 81PSCh. 1.1 - Prob. 82PSCh. 1.1 - Prob. 83PSCh. 1.1 - Prob. 84PSCh. 1.2 - For Problems 1-10, answer true or false. The...Ch. 1.2 - Prob. 2CQCh. 1.2 - Prob. 3CQCh. 1.2 - Prob. 4CQCh. 1.2 - Prob. 5CQCh. 1.2 - Prob. 6CQCh. 1.2 - Prob. 7CQCh. 1.2 - Prob. 8CQCh. 1.2 - Prob. 9CQCh. 1.2 - Prob. 10CQCh. 1.2 - Prob. 1PSCh. 1.2 - Prob. 2PSCh. 1.2 - Prob. 3PSCh. 1.2 - Prob. 4PSCh. 1.2 - Prob. 5PSCh. 1.2 - Prob. 6PSCh. 1.2 - Prob. 7PSCh. 1.2 - Prob. 8PSCh. 1.2 - Prob. 9PSCh. 1.2 - Prob. 10PSCh. 1.2 - Prob. 11PSCh. 1.2 - Prob. 12PSCh. 1.2 - Prob. 13PSCh. 1.2 - Prob. 14PSCh. 1.2 - Prob. 15PSCh. 1.2 - Prob. 16PSCh. 1.2 - Prob. 17PSCh. 1.2 - Prob. 18PSCh. 1.2 - Prob. 19PSCh. 1.2 - Prob. 20PSCh. 1.2 - Prob. 21PSCh. 1.2 - Prob. 22PSCh. 1.2 - Prob. 23PSCh. 1.2 - Prob. 24PSCh. 1.2 - Prob. 25PSCh. 1.2 - Prob. 26PSCh. 1.2 - Prob. 27PSCh. 1.2 - Prob. 28PSCh. 1.2 - Prob. 29PSCh. 1.2 - Prob. 30PSCh. 1.2 - Prob. 31PSCh. 1.2 - Prob. 32PSCh. 1.2 - Prob. 33PSCh. 1.2 - Prob. 34PSCh. 1.2 - Prob. 35PSCh. 1.2 - Prob. 36PSCh. 1.2 - Prob. 37PSCh. 1.2 - Prob. 38PSCh. 1.2 - Prob. 39PSCh. 1.2 - Prob. 40PSCh. 1.2 - Prob. 41PSCh. 1.2 - Prob. 42PSCh. 1.2 - Prob. 43PSCh. 1.2 - Prob. 44PSCh. 1.2 - Prob. 45PSCh. 1.2 - Prob. 46PSCh. 1.2 - Prob. 47PSCh. 1.2 - Prob. 48PSCh. 1.2 - Prob. 49PSCh. 1.2 - Prob. 50PSCh. 1.2 - Prob. 51PSCh. 1.2 - Prob. 52PSCh. 1.2 - Prob. 53PSCh. 1.2 - Prob. 54PSCh. 1.2 - Prob. 55PSCh. 1.2 - Prob. 56PSCh. 1.2 - Prob. 57PSCh. 1.2 - Prob. 58PSCh. 1.2 - Prob. 59PSCh. 1.2 - Prob. 60PSCh. 1.2 - Prob. 61PSCh. 1.2 - Prob. 62PSCh. 1.2 - Prob. 63PSCh. 1.2 - Prob. 64PSCh. 1.2 - Prob. 65PSCh. 1.2 - Prob. 66PSCh. 1.2 - Prob. 67PSCh. 1.2 - Prob. 68PSCh. 1.2 - Prob. 69PSCh. 1.2 - Prob. 70PSCh. 1.2 - Prob. 71PSCh. 1.2 - Prob. 72PSCh. 1.2 - Prob. 73PSCh. 1.2 - Prob. 74PSCh. 1.2 - Prob. 75PSCh. 1.2 - Prob. 76PSCh. 1.2 - Prob. 77PSCh. 1.2 - Prob. 78PSCh. 1.2 - Prob. 79PSCh. 1.2 - Prob. 80PSCh. 1.2 - Prob. 81PSCh. 1.2 - Prob. 82PSCh. 1.2 - Prob. 83PSCh. 1.2 - Prob. 84PSCh. 1.2 - Prob. 85PSCh. 1.2 - Prob. 86PSCh. 1.2 - Prob. 87PSCh. 1.2 - Prob. 88PSCh. 1.2 - Prob. 89PSCh. 1.2 - Prob. 90PSCh. 1.2 - Prob. 91PSCh. 1.2 - Prob. 92PSCh. 1.2 - Prob. 93PSCh. 1.2 - Prob. 94PSCh. 1.2 - Prob. 95PSCh. 1.2 - Prob. 96PSCh. 1.2 - Prob. 97PSCh. 1.2 - Prob. 98PSCh. 1.2 - Prob. 99PSCh. 1.2 - Prob. 100PSCh. 1.2 - Prob. 101PSCh. 1.2 - Prob. 102PSCh. 1.2 - Prob. 103PSCh. 1.2 - For Problems 96-104, write a numerical statement...Ch. 1.2 - Prob. 105PSCh. 1.2 - Prob. 106PSCh. 1.3 - Prob. 1CQCh. 1.3 - Prob. 2CQCh. 1.3 - Prob. 3CQCh. 1.3 - Prob. 4CQCh. 1.3 - Prob. 5CQCh. 1.3 - Prob. 6CQCh. 1.3 - Prob. 7CQCh. 1.3 - Prob. 8CQCh. 1.3 - Prob. 9CQCh. 1.3 - Prob. 10CQCh. 1.3 - Prob. 1PSCh. 1.3 - Prob. 2PSCh. 1.3 - Prob. 3PSCh. 1.3 - Prob. 4PSCh. 1.3 - Prob. 5PSCh. 1.3 - Prob. 6PSCh. 1.3 - Prob. 7PSCh. 1.3 - Prob. 8PSCh. 1.3 - Prob. 9PSCh. 1.3 - Prob. 10PSCh. 1.3 - Prob. 11PSCh. 1.3 - Prob. 12PSCh. 1.3 - Prob. 13PSCh. 1.3 - Prob. 14PSCh. 1.3 - Prob. 15PSCh. 1.3 - Prob. 16PSCh. 1.3 - Prob. 17PSCh. 1.3 - Prob. 18PSCh. 1.3 - Prob. 19PSCh. 1.3 - Prob. 20PSCh. 1.3 - Prob. 21PSCh. 1.3 - Prob. 22PSCh. 1.3 - Prob. 23PSCh. 1.3 - Prob. 24PSCh. 1.3 - Prob. 25PSCh. 1.3 - Prob. 26PSCh. 1.3 - Prob. 27PSCh. 1.3 - Prob. 28PSCh. 1.3 - Prob. 29PSCh. 1.3 - Prob. 30PSCh. 1.3 - Prob. 31PSCh. 1.3 - Prob. 32PSCh. 1.3 - Prob. 33PSCh. 1.3 - Prob. 34PSCh. 1.3 - Prob. 35PSCh. 1.3 - Prob. 36PSCh. 1.3 - Prob. 37PSCh. 1.3 - Prob. 38PSCh. 1.3 - Prob. 39PSCh. 1.3 - Prob. 40PSCh. 1.3 - Prob. 41PSCh. 1.3 - Prob. 42PSCh. 1.3 - Prob. 43PSCh. 1.3 - Prob. 44PSCh. 1.3 - Prob. 45PSCh. 1.3 - Prob. 46PSCh. 1.3 - Prob. 47PSCh. 1.3 - Prob. 48PSCh. 1.3 - Prob. 49PSCh. 1.3 - Prob. 50PSCh. 1.3 - Prob. 51PSCh. 1.3 - Prob. 52PSCh. 1.3 - Prob. 53PSCh. 1.3 - Prob. 54PSCh. 1.3 - Prob. 55PSCh. 1.3 - Prob. 56PSCh. 1.3 - Prob. 57PSCh. 1.3 - Prob. 58PSCh. 1.3 - Prob. 59PSCh. 1.3 - Prob. 60PSCh. 1.3 - Prob. 61PSCh. 1.3 - Prob. 62PSCh. 1.3 - Prob. 63PSCh. 1.3 - Prob. 64PSCh. 1.3 - Prob. 65PSCh. 1.3 - Prob. 66PSCh. 1.3 - Prob. 67PSCh. 1.3 - Prob. 68PSCh. 1.3 - Prob. 69PSCh. 1.3 - Prob. 70PSCh. 1.4 - For Problems 1-10, answer true or false. The...Ch. 1.4 - Prob. 2CQCh. 1.4 - Prob. 3CQCh. 1.4 - Prob. 4CQCh. 1.4 - Prob. 5CQCh. 1.4 - Prob. 6CQCh. 1.4 - Prob. 7CQCh. 1.4 - Prob. 8CQCh. 1.4 - Prob. 9CQCh. 1.4 - Prob. 10CQCh. 1.4 - Prob. 1PSCh. 1.4 - Prob. 2PSCh. 1.4 - Prob. 3PSCh. 1.4 - Prob. 4PSCh. 1.4 - Prob. 5PSCh. 1.4 - Prob. 6PSCh. 1.4 - Prob. 7PSCh. 1.4 - Prob. 8PSCh. 1.4 - Prob. 9PSCh. 1.4 - Prob. 10PSCh. 1.4 - Prob. 11PSCh. 1.4 - Prob. 12PSCh. 1.4 - Prob. 13PSCh. 1.4 - Prob. 14PSCh. 1.4 - Prob. 15PSCh. 1.4 - Prob. 16PSCh. 1.4 - Prob. 17PSCh. 1.4 - Prob. 18PSCh. 1.4 - Prob. 19PSCh. 1.4 - Prob. 20PSCh. 1.4 - Prob. 21PSCh. 1.4 - Prob. 22PSCh. 1.4 - Prob. 23PSCh. 1.4 - Prob. 24PSCh. 1.4 - Prob. 25PSCh. 1.4 - Prob. 26PSCh. 1.4 - Prob. 27PSCh. 1.4 - Prob. 28PSCh. 1.4 - Prob. 29PSCh. 1.4 - Prob. 30PSCh. 1.4 - Prob. 31PSCh. 1.4 - Prob. 32PSCh. 1.4 - Prob. 33PSCh. 1.4 - Prob. 34PSCh. 1.4 - Prob. 35PSCh. 1.4 - Prob. 36PSCh. 1.4 - Prob. 37PSCh. 1.4 - Prob. 38PSCh. 1.4 - Prob. 39PSCh. 1.4 - Prob. 40PSCh. 1.4 - Prob. 41PSCh. 1.4 - Prob. 42PSCh. 1.4 - Prob. 43PSCh. 1.4 - Prob. 44PSCh. 1.4 - Prob. 45PSCh. 1.4 - Prob. 46PSCh. 1.4 - Prob. 47PSCh. 1.4 - Prob. 48PSCh. 1.4 - Prob. 49PSCh. 1.4 - Prob. 50PSCh. 1.4 - Prob. 51PSCh. 1.4 - Prob. 52PSCh. 1.4 - Prob. 53PSCh. 1.4 - Prob. 54PSCh. 1.4 - Prob. 55PSCh. 1.4 - Prob. 56PSCh. 1.4 - Prob. 57PSCh. 1.4 - Prob. 58PSCh. 1.4 - Prob. 59PSCh. 1.4 - Prob. 60PSCh. 1.4 - Prob. 61PSCh. 1.4 - Prob. 62PSCh. 1.4 - Prob. 63PSCh. 1.4 - Prob. 64PSCh. 1.4 - Prob. 65PSCh. 1.4 - Prob. 66PSCh. 1.4 - Prob. 67PSCh. 1.4 - Prob. 68PSCh. 1.4 - Prob. 69PSCh. 1.4 - Prob. 70PSCh. 1.4 - Prob. 71PSCh. 1.4 - Prob. 72PSCh. 1.4 - Prob. 73PSCh. 1.4 - Prob. 74PSCh. 1.4 - Prob. 75PSCh. 1.4 - Prob. 76PSCh. 1.4 - Prob. 77PSCh. 1.4 - Prob. 78PSCh. 1.4 - Prob. 79PSCh. 1.4 - Prob. 80PSCh. 1.4 - Prob. 81PSCh. 1.4 - Prob. 82PSCh. 1.4 - Prob. 83PSCh. 1.4 - Prob. 84PSCh. 1.4 - Prob. 85PSCh. 1.4 - Prob. 86PSCh. 1.4 - Prob. 87PSCh. 1.4 - Prob. 88PSCh. 1.4 - Prob. 89PSCh. 1.4 - Prob. 90PSCh. 1.4 - Prob. 91PSCh. 1.4 - Prob. 92PSCh. 1.4 - Prob. 93PSCh. 1.4 - Prob. 94PSCh. 1.4 - Prob. 95PSCh. 1.4 - Prob. 96PSCh. 1.4 - Prob. 97PSCh. 1.4 - Prob. 98PSCh. 1.4 - Prob. 99PSCh. 1.4 - Prob. 100PSCh. 1.4 - Prob. 101PSCh. 1.4 - Prob. 102PSCh. 1.4 - Prob. 103PSCh. 1.4 - When asked to write an algebraic expression for 6...Ch. 1.S - From the list -0.03, 8, 0, and 5, identify the...Ch. 1.S - Prob. 2SCh. 1.S - Prob. 3SCh. 1.S - Prob. 4SCh. 1.S - Prob. 5SCh. 1.S - Prob. 6SCh. 1.S - Prob. 7SCh. 1.S - Prob. 8SCh. 1.S - Prob. 9SCh. 1.S - Prob. 10SCh. 1.CR - Prob. 1CRCh. 1.CR - Prob. 2CRCh. 1.CR - Prob. 3CRCh. 1.CR - Prob. 4CRCh. 1.CR - Prob. 5CRCh. 1.CR - Prob. 6CRCh. 1.CR - Prob. 7CRCh. 1.CR - Prob. 8CRCh. 1.CR - Prob. 9CRCh. 1.CR - Prob. 10CRCh. 1.CR - Prob. 11CRCh. 1.CR - Prob. 12CRCh. 1.CR - Prob. 13CRCh. 1.CR - Prob. 14CRCh. 1.CR - Prob. 15CRCh. 1.CR - Prob. 16CRCh. 1.CR - Prob. 17CRCh. 1.CR - Prob. 18CRCh. 1.CR - Prob. 19CRCh. 1.CR - Prob. 20CRCh. 1.CR - Prob. 21CRCh. 1.CR - Prob. 22CRCh. 1.CR - Prob. 23CRCh. 1.CR - Prob. 24CRCh. 1.CR - Prob. 25CRCh. 1.CR - Prob. 26CRCh. 1.CR - Prob. 27CRCh. 1.CR - Prob. 28CRCh. 1.CR - Prob. 29CRCh. 1.CR - Prob. 30CRCh. 1.CR - Prob. 31CRCh. 1.CR - Prob. 32CRCh. 1.CR - Prob. 33CRCh. 1.CR - Prob. 34CRCh. 1.CR - Prob. 35CRCh. 1.CR - Prob. 36CRCh. 1.CR - Prob. 37CRCh. 1.CR - Prob. 38CRCh. 1.CR - Prob. 39CRCh. 1.CR - Prob. 40CRCh. 1.CR - Prob. 41CRCh. 1.CR - Prob. 42CRCh. 1.CR - Prob. 43CRCh. 1.CR - Prob. 44CRCh. 1.CR - Prob. 45CRCh. 1.CR - Prob. 46CRCh. 1.CR - Prob. 47CRCh. 1.CR - Prob. 48CRCh. 1.CR - Prob. 49CRCh. 1.CR - Prob. 50CRCh. 1.CR - Prob. 51CRCh. 1.CR - Prob. 52CRCh. 1.CR - Prob. 53CRCh. 1.CR - Prob. 54CRCh. 1.CR - Prob. 55CRCh. 1.CR - Prob. 56CRCh. 1.CR - Prob. 57CRCh. 1.CR - Prob. 58CRCh. 1.CR - Prob. 59CRCh. 1.CR - Prob. 60CRCh. 1.CR - Prob. 61CRCh. 1.CR - Prob. 62CRCh. 1.CR - Prob. 63CRCh. 1.CR - Prob. 64CRCh. 1.CR - Prob. 65CRCh. 1.CR - Prob. 66CRCh. 1.CR - Prob. 67CRCh. 1.CR - For week 1 of a week-loss competition, Team A had...Ch. 1.CT - Prob. 1CTCh. 1.CT - Prob. 2CTCh. 1.CT - Prob. 3CTCh. 1.CT - Prob. 4CTCh. 1.CT - Prob. 5CTCh. 1.CT - Prob. 6CTCh. 1.CT - Prob. 7CTCh. 1.CT - Prob. 8CTCh. 1.CT - Prob. 9CTCh. 1.CT - Prob. 10CTCh. 1.CT - Prob. 11CTCh. 1.CT - Prob. 12CTCh. 1.CT - Prob. 13CTCh. 1.CT - Prob. 14CTCh. 1.CT - Prob. 15CTCh. 1.CT - Prob. 16CTCh. 1.CT - Prob. 17CTCh. 1.CT - Prob. 18CTCh. 1.CT - Prob. 19CTCh. 1.CT - Prob. 20CTCh. 1.CT - Prob. 21CTCh. 1.CT - Prob. 22CTCh. 1.CT - Prob. 23CTCh. 1.CT - Prob. 24CTCh. 1.CT - Prob. 25CT
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