Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 65, Problem 45AR
To determine
The number of cubic inches of steel in the plate.
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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
Page <
1
of 2
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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 65 Solutions
Mathematics For Machine Technology
Ch. 65 - Prob. 1ARCh. 65 - Express each area in Exercises 1 through 6 as...Ch. 65 - Express each area in Exercises 1 through 6 as...Ch. 65 - Express each area in Exercises 1 through 6 as...Ch. 65 - Prob. 5ARCh. 65 - Express each area in Exercises 1 through 6 as...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...
Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The following Exercises 7 through 19 involve...Ch. 65 - The cross section of a dovetail slide is shown....Ch. 65 - Compute the area of the pattern shown. Round the...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - The following Exercises 22 through 27 involve...Ch. 65 - Find the area of each of the segments ACB for...Ch. 65 - Prob. 29ARCh. 65 - Find the area of each of the segments ACB for...Ch. 65 - Find the area of the shaded segment shown. Round...Ch. 65 - A circular plate with a 15.00-inch radius is cut...Ch. 65 - Compute the cross-sectional area of the grooved...Ch. 65 - Find the area of the pattern shown. Round the...Ch. 65 - Prob. 35ARCh. 65 - Express each volume in Exercises 35 through 40 as...Ch. 65 - Prob. 37ARCh. 65 - Express each volume in Exercises 35 through 40 as...Ch. 65 - Express each volume in Exercises 35 through 40 as...Ch. 65 - Express each volume in Exercises 35 through 40 as...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 45ARCh. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 47ARCh. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 49ARCh. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 51ARCh. 65 - Prob. 52ARCh. 65 - Prob. 53ARCh. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 56ARCh. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Solve these prism and cylinder exercises. Where...Ch. 65 - Prob. 60ARCh. 65 - Prob. 61ARCh. 65 - Diameter 9.050 centimeters; Volume Round the...Ch. 65 - Prob. 63ARCh. 65 - Volume = 42.98 cubic inches; Diameter = Round the...Ch. 65 - Volume = 775 cubic centimeters; Diameter = Round...Ch. 65 - The side view of a steel roundhead (hemisphere)...Ch. 65 - Prob. 67ARCh. 65 - A hollow glass sphere has an outside circumference...Ch. 65 - Prob. 69ARCh. 65 - Compute the number of cubic centimeters of iron...
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