EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 28, Problem 11A
To determine
(a)
The measurement of
To determine
(b)
The measurement of
To determine
(c)
The measurement of
To determine
(d)
The measurement of
To determine
(e)
The measurement of
To determine
(f)
The measurement of
To determine
(g)
The measurement of
To determine
(h)
The measurement of h by the decimal inch rule.
To determine
(i)
The measurement of i by the decimal inch rule.
To determine
(j)
The measurement of
To determine
(k)
The measurement of
To determine
(l)
The measurement of l by the decimal inch rule.
To determine
(m)
The measurement of m by the decimal inch rule.
To determine
(n)
The measurement of n by the decimal inch rule.
To determine
(o)
The measurement of o by the decimal inch rule.
To determine
(o)
The measurement of p by the decimal inch rule.
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Hwk 25
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3. [1.14/4 Points]
DETAILS
MY NOTES
LARLINALG8 6.4.013.
Let B = {(1, 3), (-2, -2)} and B' = {(−12, 0), (-4, 4)} be bases for R², and let
42
- [13]
A =
30
be the matrix for T: R² R² relative to B.
(a) Find the transition matrix P from B' to B.
6
4
P =
9
4
(b) Use the matrices P and A to find [v] B and [T(V)] B, where
[v]B[31].
26
[V] B =
->
65
234
[T(V)]B=
->
274
(c) Find P-1 and A' (the matrix for T relative to B').
-1/3
1/3
-
p-1 =
->
3/4
-1/2
↓ ↑
-1
-1.3
A' =
12
8
↓ ↑
(d) Find [T(v)] B' two ways.
4.33
[T(v)]BP-1[T(v)]B =
52
4.33
[T(v)]B' A'[V]B' =
52
目
67%
PREVIOUS ANSWERS
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Hwk 25
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Success Confirmation of Questic X
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DETAILS
MY NOTES
LARLINALG8 7.2.001.
1. [-/2.85 Points]
Consider the following.
-14 60
A =
[
-4-5
P =
-3 13
-1 -1
(a) Verify that A is diagonalizable by computing P-1AP.
P-1AP =
具首
(b) Use the result of part (a) and the theorem below to find the eigenvalues of A.
Similar Matrices Have the Same Eigenvalues
If A and B are similar n x n matrices, then they have the same eigenvalues.
(11, 12) =
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2. [-/2.85 Points]
DETAILS
MY NOTES
LARLINALG8 7.2.007.
For the matrix A, find (if possible) a nonsingular matrix P such that P-1AP is diagonal. (If not possible, enter IMPOSSIBLE.)
P =
A =
12 -3
-4
1
Verify that P-1AP is a diagonal matrix with the eigenvalues on the main diagonal.
P-1AP =
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80%
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จ
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[)
Hwk 25
→
C
Hwk 27 - (MA 244-03) (SP25) IN X
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3. [-/2.85 Points]
DETAILS
MY NOTES
LARLINALG8 7.1.021.
Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding eigenspaces) of the matrix.
2 -2 5
0 3 -2
0-1 2
(a) the characteristic equation
(b) the eigenvalues (Enter your answers from smallest to largest.)
(1, 2, 13) =
·( )
a basis for each of the corresponding eigenspaces
X1
x2
=
x3 =
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4. [-/2.85 Points]
DETAILS
MY NOTES
LARLINALG8 7.1.041.
Find the eigenvalues of the triangular or diagonal matrix. (Enter your answers as a comma-separated list.)
λ=
1 0 1
045
002
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Chapter 28 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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- [) Hwk 25 4. [-/4 Points] Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 DETAILS MY NOTES 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. Need Help? Read It SUBMIT ANSWER P-1AP = 5. [-/4 Points] DETAILS MY NOTES 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)} ☐☐☐ ↓ ↑ Need Help? Read It Update available →] - restart now ASK YOUR T Sync and save data { Sign In ill ↑ New tab HT New window N New private window +HP ASK YOUR T Bookmarks History Downloads > > HJ Passwords Add-ons and themes HA Print... HP Save page as... HS…arrow_forwardClarification: 1. f doesn’t have REAL roots2. f is a quadratic, so a≠0arrow_forward[J) Hwk 25 Hwk 25 - (MA 244-03) (SP25) || X Answered: Homework#7 | bartle X + https://www.webassign.net/web/Student/Assignment-Responses/last?dep=36606604 1. [-/4 Points] DETAILS MY NOTES 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' = Need Help? Read It Watch It SUBMIT ANSWER 2. [-/4 Points] DETAILS MY NOTES 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' = ↓ ↑ Need Help? Read It SUBMIT ANSWER 具⇧ ASK YOUR TEACHER PRACTICE ANOTHER ill ASK YOUR TEACHER PRACTICE ANOTHER 3. [-/4 Points] DETAILS MY NOTES LARLINALG8 6.4.013. ASK YOUR TEACHER PRACTICE ANOTHERarrow_forward
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