Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 76, Problem 1A
To determine
To show:
The right triangle that contains the angle T.
To show:
The right triangle that contains the given angles.
Expert Solution & Answer
Explanation of Solution
Given information:
A diagram with top view, front view and size view has given.
Calculation:
Rectangular solid form by the given blocks.
Top view, front view and side view are given for the solid pyramid. When these blocks are combined with each other than that form a rectangular solid, which contain angle R and angle T with some right angles.
Here angle MBO is right angle which is formed by top view.
Angle OBN is right angle which is formed by side view.
Angle R is formed at right-angle triangle MNB andright-angle triangle ONB in which angles are given.
Angle T is formed atright angle triangleBMO and right-angle triangle BMO.
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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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A = 3 5 4
L3 6 5
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Gaussian Elimination, Gauss-Jordan Elimination or Inverse Matrix methods and
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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
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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 76 Solutions
Mathematics for Machine Technology
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