Galena Park ISD Area and Volume → C Delta Math Student Applicat x Delta Math Student Applicat xb Galena Park ISD Area and V x deltamath.com/app/student/3919669/26697249/697de3b5894b134a6f23adadf8d12b31 DeltaMath Question Watch Video Show Examples ← Back to Home Area and Volume Due: February 12 at 4:00 PM Grade: 0% Drag the yellow point until an accurate "height" of the triangle is drawn. Afterwards, fill out the empty boxes below to determine the area of the triangle. Area of a Triangle (Interactive) Area Puzzles (Rectangles/Squares) Volume of Prisms Calculator Estrella Tejada\ Zavaleta Log Out h=4.65 5 6.5 7 C 4 00 10 1 59 US

15. (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. 100 00 1 1

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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

13. Check to see if the following set of functions is orthogonal on the interval [-3, 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. Пх COS 3 {cos (), sin().1} 3

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