Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 25, Problem 5AR
Express these ratios in lowest fractional form.
5.
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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 25 Solutions
Mathematics For Machine Technology
Ch. 25 - Prob. 1ARCh. 25 - Express these ratios in lowest fractional form. 2....Ch. 25 - Express these ratios in lowest fractional form. 3....Ch. 25 - Express these ratios in lowest fractional form. 4....Ch. 25 - Express these ratios in lowest fractional form. 5....Ch. 25 - Express these ratios in lowest fractional form. 6....Ch. 25 - Express these ratios in lowest fractional form. 7....Ch. 25 - Express these ratios in lowest fractional form....Ch. 25 - Express these ratios in lowest fractional form. 9....Ch. 25 - Express these ratios in lowest fractional form....
Ch. 25 - Express these ratios in lowest fractional form....Ch. 25 - Bronze is an alloy of copper, zinc, and tin with...Ch. 25 - Solve for the unknown value in each of the...Ch. 25 - Analyze each of the following problems to...Ch. 25 - Express each value as a percent. a. 1 b. 112 c....Ch. 25 - Express each value as a percent. a. 0.72 b.2.037...Ch. 25 - Express each percent as a decimal fraction or...Ch. 25 - Express each percent as a common fraction or mixed...Ch. 25 - Find each percentage. Round the answers to 2...Ch. 25 - Find each percent (rate). Round the answers to 2...Ch. 25 - Prob. 21ARCh. 25 - Prob. 22ARCh. 25 - The carbon content of machine steel for gages...Ch. 25 - A piece of machinery is purchased for $8792. In 1...Ch. 25 - Engine pistons and cylinder heads are made of an...Ch. 25 - Before starting two jobs, a shop has an inventory...Ch. 25 - An alloy of stainless steel contains 73.6% iron,...Ch. 25 - Prob. 28AR
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