Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 22, Problem 13A
To determine
To express the given value in percent.
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12. Check to see if the following set of functions is orthogonal on the interval [0,3] with
respect to the integral inner product. Show all work. Recall that a set of functions is
orthogonal if all pairs of functions are orthogonal.
πα
{cos (777), sin (7), 1}
1. Check to see if the matrix below is
(a) symmetric
(b) skew-symmetric
(c) orthogonal
You need to check all three cases.
2. Compute the eigenvalues and verify that they satisfy the required properties for such
matrix. (For example, if the matrix is symmetric, then the eigenvalues satisfy certain
property. Likewise, if a matrix is skew-symmetric or if it is orthogonal.)
0.28 0.96
-0.96 0.28
14. (a) Find all the eigenvalues and their algebraic and geometric multiplicities.
(b) Find bases for the corresponding eigenspaces.
(c) Is the matrix is diagonalizable? Explain. If it is, then find P and D.
5 2
-9
6
Chapter 22 Solutions
Mathematics For Machine Technology
Ch. 22 - Prob. 1ACh. 22 - Prob. 2ACh. 22 - Prob. 3ACh. 22 - Prob. 4ACh. 22 - Prob. 5ACh. 22 - Compute (15314)18+734 . Express the answer as a...Ch. 22 - Prob. 7ACh. 22 - Prob. 8ACh. 22 - Prob. 9ACh. 22 - Prob. 10A
Ch. 22 - Prob. 11ACh. 22 - Prob. 12ACh. 22 - Prob. 13ACh. 22 - Express each value as a percent. 14. 0.062Ch. 22 - Prob. 15ACh. 22 - Express each value as a percent. 16. 1.33Ch. 22 - Prob. 17ACh. 22 - Prob. 18ACh. 22 - Prob. 19ACh. 22 - Prob. 20ACh. 22 - Prob. 21ACh. 22 - Prob. 22ACh. 22 - Prob. 23ACh. 22 - Prob. 24ACh. 22 - Prob. 25ACh. 22 - Prob. 26ACh. 22 - Prob. 27ACh. 22 - Prob. 28ACh. 22 - Prob. 29ACh. 22 - Prob. 30ACh. 22 - Prob. 31ACh. 22 - Prob. 32ACh. 22 - Prob. 33ACh. 22 - Prob. 34ACh. 22 - Prob. 35ACh. 22 - Prob. 36ACh. 22 - Prob. 37ACh. 22 - Prob. 38ACh. 22 - Prob. 39ACh. 22 - Prob. 40ACh. 22 - Prob. 41ACh. 22 - Prob. 42ACh. 22 - Prob. 43ACh. 22 - Prob. 44ACh. 22 - Prob. 45ACh. 22 - Prob. 46ACh. 22 - Prob. 47ACh. 22 - Prob. 48ACh. 22 - Prob. 49ACh. 22 - Express each percent as a common fraction or mixed...Ch. 22 - Prob. 51ACh. 22 - Prob. 52ACh. 22 - Prob. 53ACh. 22 - Prob. 54ACh. 22 - Prob. 55ACh. 22 - Prob. 56ACh. 22 - Prob. 57ACh. 22 - Prob. 58A
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