EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 20, Problem 12A
To determine
Evaluation of the lowest fraction form of the given ratio.
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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 20 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 20 - Use a decimal equivalents table to find the...Ch. 20 - Compute (27.52.5+4.36)21.75 . Express the result...Ch. 20 - A cylinder has a volume, V, of 32.85 mm3. Use the...Ch. 20 - The volume V of a cube is V=s3 , where s is the...Ch. 20 - Multiply 15.328.75 .Ch. 20 - Express the decimal fraction 0.4275 as a common...Ch. 20 - Prob. 7ACh. 20 - Express the following ratios in lowest fractional...Ch. 20 - Prob. 9ACh. 20 - Express the following ratios in lowest fractional...
Ch. 20 - Prob. 11ACh. 20 - Prob. 12ACh. 20 - Prob. 13ACh. 20 - Express the following ratios in lowest fractional...Ch. 20 - Prob. 15ACh. 20 - Express the following ratios in lowest fractional...Ch. 20 - Length A in Figure 205 is 3 inches and length B is...Ch. 20 - Prob. 18ACh. 20 - Prob. 19ACh. 20 - In Figure 208, gear A is turning at 120...Ch. 20 - Solve for the unknown value in each of the...Ch. 20 - Solve for the unknown value in each of the...Ch. 20 - Prob. 23ACh. 20 - Prob. 24ACh. 20 - Prob. 25ACh. 20 - Prob. 26ACh. 20 - Prob. 27ACh. 20 - Solve for the unknown value in each of the...Ch. 20 - Solve for the unknown value in each of the...Ch. 20 - Prob. 30ACh. 20 - Prob. 31ACh. 20 - Prob. 32ACh. 20 - Prob. 33ACh. 20 - Prob. 34ACh. 20 - Prob. 35ACh. 20 - Prob. 36ACh. 20 - Prob. 37ACh. 20 - Prob. 38ACh. 20 - Prob. 39ACh. 20 - Prob. 40ACh. 20 - Prob. 41ACh. 20 - Prob. 42ACh. 20 - The proportion AB=CDcompares the sides of two...Ch. 20 - Prob. 44ACh. 20 - It is sometimes impractical to make engineering...Ch. 20 - Prob. 46ACh. 20 - Prob. 47ACh. 20 - A drawing has a scale of 14=3 . Determine the...
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