EBK MATHEMATICS FOR MACHINE TECHNOLOGY
7th Edition
ISBN: 9780100548169
Author: SMITH
Publisher: YUZU
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Textbook Question
Chapter 48, Problem 75A
Divide the angles in each of the following exercises.
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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
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2) Given the following matrices A =
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and B =
0
1
-3
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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).
Consider 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 expression
Chapter 48 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 48 - Refer to the Decimal-Inch Spur Gears Table under...Ch. 48 - If the cutting speed is 160 m/min and the...Ch. 48 - Solve the equation 28A2=(5+A)(2A)for A.Ch. 48 - Use the addition of equality to solve...Ch. 48 - If a=5.2,b=4.8,and c=7.25 ,what is the value of...Ch. 48 - Prob. 6ACh. 48 - Prob. 7ACh. 48 - Prob. 8ACh. 48 - Write the symbols for the following words. a....Ch. 48 - Express the following decimal degrees as degrees...
Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the following decimal degrees as degrees...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the decimal degrees as degrees, minutes,...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees and minutes as...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Express the following degrees, minutes, and...Ch. 48 - Determine 1.Ch. 48 - Determine 2.Ch. 48 - Determine 3.Ch. 48 - Determine 1+2+3.Ch. 48 - Determine 5.Ch. 48 - Determine 6.Ch. 48 - Determine 7+8+9Ch. 48 - Determine 1+2+3+4+5.Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Subtract the angles in each of the following...Ch. 48 - Multiply the angles in each of the following...Ch. 48 - Multiply the angles in each of the following...Ch. 48 - Multiply the angles in each of the following...Ch. 48 - Multiply the angles in each of the following...Ch. 48 - Multiply the angles in each of the following...Ch. 48 - In the figure shown, 1=2=42. Determine 3.Ch. 48 - IF x=3914,find 4.Ch. 48 - In the figure shown, 1=2=3=4=5=5403. Determine 6.Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - Divide the angles in each of the following...Ch. 48 - The sum of the angles in figure equals shown...
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