
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 69, Problem 17A
Find center distance y.
All dimensions are in millimeters
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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 69 Solutions
Mathematics For Machine Technology
Ch. 69 - Determine the sizes of Aand Bto the nearest...Ch. 69 - Write the cofunction of the complement of the...Ch. 69 - Determine sec 14.8527 rounded to 5 decimal places.Ch. 69 - A steel forging in the shape of a right circular...Ch. 69 - Prob. 5ACh. 69 - The legs of a right triangle are 718 and 912 ....Ch. 69 - Determine the height of gage blocks required to...Ch. 69 - Determine the height of gage blocks required to...Ch. 69 - In Exercises 9 and 10, determine the height of...Ch. 69 - In Exercises 9 and 10, determine the height of...
Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Solve the following exercises. For customary...Ch. 69 - Find center distance y. All dimensions are in...Ch. 69 - Find inside caliper dimension x. All dimensions...Ch. 69 - Find radius r. All dimensions are in millimeters.Ch. 69 - Find arc dimension x. All dimensions are in...Ch. 69 - Find the depth of cut x. All dimensions are in...Ch. 69 - Find x. All dimensions are in inches.Ch. 69 - Find gage dimension y. All dimensions are in...Ch. 69 - Find y. All dimensions are in inches.Ch. 69 - Find gage dimension x. All dimensions are in...Ch. 69 - Find x. All dimensions are in millimeters.Ch. 69 - Find dimension y. All dimensions are in inches.Ch. 69 - Find y. All dimensions are in inches.Ch. 69 - Find dimension x. All dimensions are in...Ch. 69 - Find x. All dimensions are in inchesCh. 69 - Find distance y. All dimensions are in millimetersCh. 69 - Find dimension y. All dimensions are in inchesCh. 69 - The length L of the point drill with included...Ch. 69 - Determine the lengths of A and B. Round the...
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