Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 49, Problem 11A
To determine
To find the angle from the given figure.
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of 2
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1) a) Find a matrix P such that PT AP orthogonally diagonalizes the following matrix
A.
= [{² 1]
A =
b) Verify that PT AP gives the correct diagonal form.
2
01
-2
3
2) Given the following matrices A =
-1
0
1] an
and B =
0
1
-3
2
find the following matrices:
a) (AB) b) (BA)T
3) Find the inverse of the following matrix A using Gauss-Jordan elimination or
adjoint of the matrix and check the correctness of your answer (Hint: AA¯¹ = I).
[1 1 1
A = 3 5 4
L3 6 5
4) Solve the following system of linear equations using any one of Cramer's Rule,
Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
check the correctness of your answer.
4x-y-z=1
2x + 2y + 3z = 10
5x-2y-2z = -1
5) a) Describe the zero vector and the additive inverse of a vector in the vector
space, M3,3.
b) Determine if the following set S is a subspace of M3,3 with the standard
operations. Show all appropriate supporting work.
Chapter 49 Solutions
Mathematics for Machine Technology
Ch. 49 - Express 159.3596 as degrees, minutes, and seconds....Ch. 49 - Prob. 2ACh. 49 - Prob. 3ACh. 49 - Prob. 4ACh. 49 - Prob. 5ACh. 49 - Prob. 6ACh. 49 - Prob. 7ACh. 49 - Prob. 8ACh. 49 - Prob. 9ACh. 49 - Lay out a four-sided figure (quadrilateral) of any...
Ch. 49 - Prob. 11ACh. 49 - Prob. 12ACh. 49 - Write the values of the settings on the following...Ch. 49 - Prob. 14ACh. 49 - Write the values of the settings on the following...Ch. 49 - Write the values of the settings on the following...Ch. 49 - Write the values of the settings on the following...Ch. 49 - Write the values of the settings on the following...Ch. 49 - Prob. 19ACh. 49 - Write the values of the settings on the following...Ch. 49 - Prob. 21ACh. 49 - Prob. 22A
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