In each of Problems 17 through 20, use a computer to find the eigenvalues and eigenvectors for the given matrix.
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- Problem Eight Diagonalize this matrix, whose eigenvalues are 2 and 8. Note: You only need to find P and D. Adjust the eigenvectors (by scaling) so that they have a 1 in the lowest nonzero position. [4 2 21 A = 2 4 2 2 2 4 Solution:arrow_forwarda. Determine the solutions of the simultaneous equations given below y = x² + x + 1 y = 6x + 7 b. Solve the following inequality: |3x + 1| <3 c. Solve the following equation using logarithm, correct to 3 significant figures. 33t-1 = 7t+1 3 d. Simplify the matrix multiplication 2 -1 -4 7 31 e. Find the inverse matrix of Matrix A = =[-_-2-3] 6 5 f. Find the determinant of the Matrix B= 2 -2 -4 NÁG 5 2 -2 ܢܐ ܗ ܚ 6 -3 1 0 3 -3 X م بل ه -3 0arrow_forwardProblem #7: Find the eigenvalues of the following matrix. A = 6 2 -2 1 6 2arrow_forward
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning