Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 67, Problem 16A
Find inside caliper dimension x.
All dimensions are in inches.
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Please help solve the following whilst showing all working out. Is part of exam revision questions but no solution is given
please help me with this question with working out thanks
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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 67 Solutions
Mathematics for Machine Technology
Ch. 67 - Determine the sizes of Aand Bto the nearest...Ch. 67 - Write the cofunction of the complement of the...Ch. 67 - Determine sec 14.8527 rounded to 5 decimal places.Ch. 67 - A steel forging in the shape of a right circular...Ch. 67 - Prob. 5ACh. 67 - The legs of a right triangle are 718 and 912 ....Ch. 67 - Prob. 7ACh. 67 - Prob. 8ACh. 67 - Solve the following exercises. For customary...Ch. 67 - Solve the following exercises. For customary...
Ch. 67 - Solve the following exercises. For customary...Ch. 67 - Solve the following exercises. For customary...Ch. 67 - Solve the following exercises. For customary...Ch. 67 - Solve the following exercises. For customary...Ch. 67 - Find center distance y. All dimensions are in...Ch. 67 - Find inside caliper dimension x. All dimensions...Ch. 67 - Find radius r. All dimensions are in millimeters.Ch. 67 - Find arc dimension x. All dimensions are in...Ch. 67 - Find the depth of cut x. All dimensions are in...Ch. 67 - Find x. All dimensions are in inches.Ch. 67 - Find gage dimension y. All dimensions are in...Ch. 67 - Find y. All dimensions are in inches.Ch. 67 - Find gage dimension x. All dimensions are in...Ch. 67 - Find x. All dimensions are in millimeters.Ch. 67 - Find dimension y. All dimensions are in inches.Ch. 67 - Find y. All dimensions are in inches.Ch. 67 - Find dimension x. All dimensions are in...Ch. 67 - Find x. All dimensions are in inchesCh. 67 - Find distance y. All dimensions are in millimetersCh. 67 - Find dimension y. All dimensions are in inchesCh. 67 - The length L of the point drill with included...
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