Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Textbook Question
Chapter 36, Problem 1A
Read the setting of this metric micrometer scale graduated in 0.01 mm.
Expert Solution & Answer
To determine
The measurement on micrometer scale.
Answer to Problem 1A
The measured value is
Explanation of Solution
Given:
Measurement shown in below figure:
Calculation:
Measurement from above figure micrometer scale is given as follows:
Barrel scale reading is
Thimble scale reading is
The total measurement value is calculated as follows:
Thus, the measured value is
Conclusion:
The measured value is
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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.
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2) Given the following matrices A =
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find the following matrices:
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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 36 Solutions
Mathematics For Machine Technology
Ch. 36 - Read the setting of this metric micrometer scale...Ch. 36 - Read the setting on this customary vernier...Ch. 36 - Use a digital vernier caliper to measure the...Ch. 36 - Read the decimal-inch vernier caliper measurement...Ch. 36 - Express 2.0276 meters as centimeters.Ch. 36 - Prob. 6ACh. 36 - Prob. 7ACh. 36 - Use a digital micrometer to measure the indicated...Ch. 36 - Prob. 9ACh. 36 - Prob. 10A
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