EBK MATHEMATICS: A PRACTICAL ODYSSEY
8th Edition
ISBN: 8220100546112
Author: MOWRY
Publisher: Cengage Learning US
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Chapter 11.0A, Problem 40E
To determine
To find:
The materials cost of one
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LARLINALG8 6.4.019.
Use the matrix P to determine if the matrices A and A' are similar.
-1 -1
12
9
'-[ ¯ ¯ ], ^ - [ _—2—2 _ ' ], ^' - [ ˜³ −10]
P =
1 2
A =
-20-11
A'
-3-10
6
4
P-1 =
Are they similar?
Yes, they are similar.
No, they are not similar.
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P-1AP =
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LARLINALG8 6.4.023.
Suppose A is the matrix for T: R³ -
→ R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
A' =
-1 -2 0
A =
-1
0 0
'
0 02
B' = {(−1, 1, 0), (2, 1, 0), (0, 0, 1)}
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Clarification: 1. f doesn’t have REAL roots2. f is a quadratic, so a≠0
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Find the matrix A' for T relative to the basis B'.
LARLINALG8 6.4.003.
T: R² → R², T(x, y) = (x + y, 4y), B' = {(−4, 1), (1, −1)}
A' =
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LARLINALG8 6.4.007.
Find the matrix A' for T relative to the basis B'.
T: R³ → R³, T(x, y, z) = (x, y, z), B' = {(0, 1, 1), (1, 0, 1), (1, 1, 0)}
A' =
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Chapter 11 Solutions
EBK MATHEMATICS: A PRACTICAL ODYSSEY
Ch. 11.0A - In Exercises 1-10, a find the dimensions of the...Ch. 11.0A - Prob. 2ECh. 11.0A - Prob. 3ECh. 11.0A - Prob. 4ECh. 11.0A - Prob. 5ECh. 11.0A - Prob. 6ECh. 11.0A - Prob. 7ECh. 11.0A - Prob. 8ECh. 11.0A - Prob. 9ECh. 11.0A - In Exercises 1-10, a find the dimensions of the...
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