EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 4, Problem 4A
Determine the length A in Figure 4-3. All dimensions are in inches.
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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 4 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 4 - Express 13,25,56,and 49as equivalent fractions...Ch. 4 - Add 13+25+56+49 .Ch. 4 - Reduce 3645to lowest terms.Ch. 4 - Determine the length A in Figure 4-3. All...Ch. 4 - Determine the length of the template in Figure...Ch. 4 - Determine the length B in Figure 4-3. All...Ch. 4 - Multiply the fractions in Exercises 7 through 9....Ch. 4 - Multiply the fractions in Exercises 7 through 9....Ch. 4 - Multiply the fractions in Exercises 7 through 9....Ch. 4 - Determine dimensions A, B, C, D, and E of the...
Ch. 4 - A special washer-faced nut is shown in Figure 4-5....Ch. 4 - The Unified Thread may have either a flat or...Ch. 4 - Prob. 13ACh. 4 - How many inches of drill rod are required in order...Ch. 4 - A hole is cut in a rectangular metal plate as...Ch. 4 - Six identical square holes are cut in a...
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