Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 30, Problem 8A
Read the metric vernier caliper measurements for the following settings.
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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.
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
Chapter 30 Solutions
Mathematics for Machine Technology
Ch. 30 - Read the decimal-inch vernier caliper measurement...Ch. 30 - Measure this line segment to the nearest 164.Ch. 30 - A hole has a diameter of 24.649mm 0.004mm+0.002mm...Ch. 30 - Express 37.295 centimeters as inches. Round the...Ch. 30 - Express 458 % as a decimal fraction.Ch. 30 - Use a calculator to determine...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...
Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric vernier caliper measurements for...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Read the metric height gage measurements for the...Ch. 30 - Prob. 16ACh. 30 - Prob. 17ACh. 30 - Prob. 18A
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- Page < 1 of 2 - ZOOM + 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.arrow_forwardUsing Karnaugh maps and Gray coding, reduce the following circuit represented as a table and write the final circuit in simplest form (first in terms of number of gates then in terms of fan-in of those gates).arrow_forwardConsider the alphabet {a, b, c}.• Design a regular expression that recognizes all strings over {a, b, c} that have at least three nonconsec-utive c characters (two characters are non-consecutive if there is at least one character between them)and at least one a character.• Explain how your regular expression recognizes the string cbbcccac by clearly identifying which partsof the string match to the components of your regular expressionarrow_forward
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- #1). A technique is given with 150 mAs is 40 kV and produces an EI value = 400. Find the new EI value, if mAs is 75 and 34 kV are used.arrow_forwardQ3: Answer the following: (i) Let f(z) is an analytic function in a simply connected domain S and y is a simple, closed, positively oriented contour lying in S. Prove that f, f(z)dz = 0.arrow_forwardUse the method of undetermined coefficients to solve the given nonhomogeneous system.X' = −1 33 −1 X + −4t2t + 2 X(t) =arrow_forward
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