
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 51, Problem 6A
To determine
The thickness of the book measured with the help of digital micrometer.
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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 51 Solutions
Mathematics For Machine Technology
Ch. 51 - Express 159.3596 as degrees, minutes, and seconds....Ch. 51 - Prob. 2ACh. 51 - Prob. 3ACh. 51 - Prob. 4ACh. 51 - Prob. 5ACh. 51 - Prob. 6ACh. 51 - Prob. 7ACh. 51 - Write the values of angles F-J on the preceding...Ch. 51 - Prob. 9ACh. 51 - a. 98 b. 97 c. 123 d. 150 e. 166
Ch. 51 - Prob. 11ACh. 51 - Lay out a four-sided figure (quadrilateral) of any...Ch. 51 - Prob. 13ACh. 51 - In Exercises 13 through 16, measure each of the...Ch. 51 - Prob. 15ACh. 51 - In Exercises 13 through 16, measure each of the...Ch. 51 - Prob. 17ACh. 51 - In Exercises 13 through 16, measure each of the...Ch. 51 - Prob. 19ACh. 51 - Write the values of the settings on the following...Ch. 51 - Prob. 21ACh. 51 - Write the values of the settings on the following...Ch. 51 - Write the values of the settings on the following...Ch. 51 - Write the values of the settings on the following...Ch. 51 - Write the values of the settings on the following...Ch. 51 - Prob. 26ACh. 51 - Write the values of the settings on the following...Ch. 51 - Write the complements of the angles in Exercises...Ch. 51 - Prob. 29ACh. 51 - Prob. 30ACh. 51 - Prob. 31A
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