Consider the following matrix A and column vectors K 1, K 2, and K 3. Problem #2

Question

Consider the following matrix A and column vectors K1, K2, and K3. Problem #2: Consider the following matrix A and column vectors K1, K2, and K3 8 4 4 4 4 8 Verify that K1, K2, and K3, are eigenvectors of the matrix A, and find the corresponding eigenvalues. Then use these eigenvectors, in the given order, along with the Gram-Schmidt process (where needed) to construct an orthogonal matrix P from these eigenvectors (a) Enter the eigenvalues corresponding to K1, K2, and K3 (in that order) into the answer box below, separated by commas. (b) Enter the values in the first row of the matrix P into the answer box below, separated by commas. Problem #2(a) Enter your answer symbolically Problem #2(b): as in these examples Submit Problem #2 for Grading Just Save Problem #2 Attempt #1 Attem 2 Attem 3 Attempt E4 Attempt #5 2(a) Your Answer: 2(a) 2 (a) 2 (a) 2 (a) 2(b) 2(b) 2(b) 2(b) 2(b) 2(a) 2(a) 2(a) 2(a) Your Mark: 2(a) 2 (b 2(b) 2 (b 2 (b 2 (b

Explanation / Answer

eigen values - 4,16,4

first row - -6,4,1

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