EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Chapter 46, Problem 44A
To determine
To solve problem for unknown using the appropriate formula.
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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]
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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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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
Chapter 46 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 46 - Prob. 1ACh. 46 - Prob. 2ACh. 46 - Prob. 3ACh. 46 - Prob. 4ACh. 46 - Prob. 5ACh. 46 - Read the setting on the following 0.001-inch...Ch. 46 - Prob. 7ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 9ACh. 46 - Prob. 10A
Ch. 46 - Prob. 11ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 13ACh. 46 - Prob. 14ACh. 46 - Prob. 15ACh. 46 - Prob. 16ACh. 46 - Prob. 17ACh. 46 - Prob. 18ACh. 46 - Prob. 19ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 21ACh. 46 - Prob. 22ACh. 46 - Prob. 23ACh. 46 - Prob. 24ACh. 46 - Prob. 25ACh. 46 - Prob. 26ACh. 46 - Prob. 27ACh. 46 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 46 - Prob. 29ACh. 46 - Prob. 30ACh. 46 - Prob. 31ACh. 46 - Prob. 32ACh. 46 - Prob. 33ACh. 46 - Prob. 34ACh. 46 - Prob. 35ACh. 46 - Prob. 36ACh. 46 - Prob. 37ACh. 46 - Prob. 38ACh. 46 - Prob. 39ACh. 46 - Prob. 40ACh. 46 - Prob. 41ACh. 46 - Prob. 42ACh. 46 - Prob. 43ACh. 46 - Prob. 44ACh. 46 - Prob. 45ACh. 46 - Prob. 46ACh. 46 - Prob. 47ACh. 46 - Prob. 48ACh. 46 - Prob. 49ACh. 46 - Prob. 50ACh. 46 - Backlash is the amount that a tooth Space is...Ch. 46 - Prob. 52ACh. 46 - Prob. 53ACh. 46 - Prob. 54ACh. 46 - Prob. 55ACh. 46 - Prob. 56ACh. 46 - Prob. 57ACh. 46 - Prob. 58ACh. 46 - Prob. 59ACh. 46 - Prob. 60ACh. 46 - Prob. 61ACh. 46 - Prob. 62ACh. 46 - Prob. 63ACh. 46 - Prob. 64ACh. 46 - Prob. 65ACh. 46 - Prob. 66ACh. 46 - Prob. 67ACh. 46 - Prob. 68ACh. 46 - Prob. 69ACh. 46 - Prob. 70A
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- [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_forwardUse Laplace transforms to solve the following heat problem: U₁ = Urr x > 0, t> 0 u(x, 0) = 10c a -X u(0,t) = 0 lim u(x,t) = 0 I7Xarrow_forwarda/ Solve the equation Laplac transfors wt = wxx W (X10)=0 w (o,t) = f (t) lim wexit) = 0 *>° t>o , to t70 848arrow_forward
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