EBK MATHEMATICS FOR MACHINE TECHNOLOGY
8th Edition
ISBN: 9781337798396
Author: SMITH
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Textbook Question
Chapter 49, Problem 11AR
In Exercises 11 and 12, solve for the unknown and check each of the combined operations equations. Round the answers to 3 decimal places where necessary.
a.
b.
c.
d.
e.
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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 49 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
Ch. 49 - Prob. 1ARCh. 49 - a. Twice M minus the square of P. b. The sum of A...Ch. 49 - Prob. 3ARCh. 49 - Prob. 4ARCh. 49 - Prob. 5ARCh. 49 - Prob. 6ARCh. 49 - Prob. 7ARCh. 49 - Prob. 8ARCh. 49 - Prob. 9ARCh. 49 - In Exercises 9 and 10, solve for the unknown in...
Ch. 49 - In Exercises 11 and 12, solve for the unknown and...Ch. 49 - In Exercises 11 and 12, solve for the unknown and...Ch. 49 - Prob. 13ARCh. 49 - Prob. 14ARCh. 49 - Prob. 15ARCh. 49 - Prob. 16ARCh. 49 - Prob. 17ARCh. 49 - Prob. 18ARCh. 49 - Prob. 19ARCh. 49 - Prob. 20ARCh. 49 - Prob. 21ARCh. 49 - Prob. 22AR
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