College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Textbook Question
Chapter A.2, Problem 27E
For each of the above equations, create a table, , and list points on the graph.
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Question 4
(a) The following matrices represent linear maps on R² with respect to an
orthonormal basis:
=
[1/√5 2/√5
[2/√5 -1/√5]
"
[1/√5 2/√5]
A =
B =
[2/√5 1/√5] 1
C =
D =
=
=
[ 1/3/5 2/35]
1/√5 2/√5
-2/√5 1/√5'
For each of the matrices A, B, C, D, state whether it represents a self-adjoint
linear map, an orthogonal linear map, both, or neither.
(b) For the quadratic form
q(x, y, z) = y² + 2xy +2yz
over R, write down a linear change of variables to u, v, w such that q in these
terms is in canonical form for Sylvester's Law of Inertia.
[6]
[4]
part b please
Question 5
(a) Let a, b, c, d, e, ƒ Є K where K is a field. Suppose that the determinant of the
matrix
a cl
|df
equals 3 and the determinant of
determinant of the matrix
a+3b cl
d+3e f
ГЪ
e
[ c ] equals 2. Compute the
[5]
(b) Calculate the adjugate Adj (A) of the 2 × 2 matrix
[1 2
A
=
over R.
(c) Working over the field F3 with 3 elements, use row and column operations to put
the matrix
[6]
0123]
A
=
3210
into canonical form for equivalence and write down the canonical form. What is
the rank of A as a matrix over F3?
4
Chapter A Solutions
College Algebra (10th Edition)
Ch. A.1 - In problems 1-4, determine the coordinates of the...Ch. A.1 - In problems 1-4, determine the coordinates of the...Ch. A.1 - In problems 1-4, determine the coordinates of the...Ch. A.1 - In problems 1-4, determine the coordinates of the...Ch. A.1 - In Problems 5-10, determine the viewing window...Ch. A.1 - In Problems 5-10, determine the viewing window...Ch. A.1 - In Problems 5-10, determine the viewing window...Ch. A.1 - In Problems 5-10, determine the viewing window...Ch. A.1 - In Problems 5-10, determine the viewing window...Ch. A.1 - In Problems 5-10, determine the viewing window...
Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.1 - In Problems 11-16, select a setting so that each...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - In Problems 1-16, graph each equation using the...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.2 - For each of the above equations, create a table,...Ch. A.3 - In Problems 1-6, use ZERO (or ROOT) to approximate...Ch. A.3 - In Problems 1-6, use ZERO (or ROOT) to approximate...Ch. A.3 - In Problems 1-6, use ZERO (or ROOT) to approximate...Ch. A.3 - In Problems 1-6, use ZERO (or ROOT) to approximate...Ch. A.3 - In Problems 1-6, use ZERO (or ROOT) to approximate...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.3 - In Problems 7-12, use ZERO (or ROOT) to...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - In Problems 1-8, determine which of the given...Ch. A.5 - If Xmin=4 , Xmax=12 , and Xscl=1 , how should...Ch. A.5 - If Xmin=6 , Xmax=10 , and Xscl=2 , how should...
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