
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Question
Chapter 63, Problem 17A
To determine
The height of a regular pyramid.
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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.
Using 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).
Chapter 63 Solutions
Mathematics For Machine Technology
Ch. 63 - A rectangular strip of steel 2 ft 4 in. long, 1 ft...Ch. 63 - In order to make a conical duct, a circular sheet...Ch. 63 - A square bar 78 in. on a side is to be milled from...Ch. 63 - Construct a regular hexagon 3 cm on a side. By...Ch. 63 - Two angles of a triangle measure 7318' and 4947'....Ch. 63 - Prob. 6ACh. 63 - Prob. 7ACh. 63 - Prob. 8ACh. 63 - Prob. 9ACh. 63 - Prob. 10A
Ch. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 12ACh. 63 - A vessel is in the shape of a right circular cone....Ch. 63 - Prob. 14ACh. 63 - Prob. 15ACh. 63 - A piece in the shape of a pyramid with a regular...Ch. 63 - Prob. 17ACh. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 19ACh. 63 - Prob. 20ACh. 63 - Prob. 21ACh. 63 - Solve these exercises. Where necessary, round the...Ch. 63 - Prob. 23ACh. 63 - Prob. 24ACh. 63 - Prob. 25ACh. 63 - The container is in the shape of a frustum of a...Ch. 63 - A steel forging is in the shape of a frustum of a...Ch. 63 - Find the volume of the frustum of a right circular...Ch. 63 - Prob. 29ACh. 63 - The side view of a tapered steel shaft is shown....Ch. 63 - A zinc casting is in the shape of a frustum of a...Ch. 63 - A piece in the shape of a frustum of a pyramid...Ch. 63 - Find the volume of a hollow machined steel piece...Ch. 63 - Prob. 34A
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