Concept explainers
Solve the following exercises based on Principles 18 through 21, although an exercise may require the application oftwo or more of any of the principles. Where necessary, round linear answers in inches to 3 decimal places and millimeters to 2 decimal places. Round angular answers in decimal degrees to 2 decimal places and degrees and minutes to the nearest minute.
a. If ∠1 = 25°, find
(1)
(2) PT
(3)
b. If ∠1 = 17°30', find
(1)
(2) PT
(3)
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Chapter 54 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
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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}arrow_forward1. 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 0.28arrow_forward14. (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 6arrow_forward
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