(1 point) Find the determinant of the matrix [1 0 0 -2] M-1 0 3 0...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)
Problem 8. a) Find the determinant det (A) for the matrix [1 -3 41 A 2 0 -1 1 b) Decide whether the matrix A has an inverse. If the inverse matrix A-1 exists, find its determinant det(A-1).
(1 point) Find the determinant of the matrix A= -9 1-8 3 | det(A) =
U is a 2 x 2 orthogonal matrix of determinant -1. Find 5 · [0, 1] · U if 5 · [1,0] · U = (-3,4]. 2. Let M = [[144, 18], [18, 171]]. Notice that 180 is an eigenvalue of M. Let U be an orthogonal matrix such that U-MU is diagonal, the first column of U has positive entries, and det(U) = 1. Find 145 · U.
3 -5 0 1 0 2 0 0 Consider the matrix A= -1 -1 0 3 1 0 -3 2 Which of the following statements about the determinant of A is true? det(2A) = 2 det A det(-A) = det A O Multiplying any row of Aby -1 does not change det A Interchanging two rows of A does not change det A
Problem 3 Find the determinant of the following matrix: -2 6 0 1 0 -12 10 0
(16). Determine the determinant of the following n x n matrix: 2 3 II 2 3 0 3 00 9 (17). If A= then A= 9 3 7 2 1 (18). Let A= 1 2 If x= is an eigenvector of A-1, then k = 1 2 (19). Let A € R3x3 and det(A - 1) = det(A + 1) = det(A - 21) = 0. Then det(A) = 1 3 3 2 (20). The rank of matrix A =...
1 2 2 1 -X Find the determinant of the matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula 0 0 1 -3 -x X Question 4: (2 points) a b c fis 3, find the determinant of these matrices: If the determinant of the matrix M = d e (gh k) b a C (a) 7 d 7e 7f h k -E. b-2 e c - 2 f a...
Use expansion by cofactors to find the determinant of the matrix. - 3 4 -1 13 1 2 | -1 4 2 Use expansion by cofactors to find the determinant of the matrix. [65 31 0 4 1 00-3]
(1 point) The matrix [-1 0 -2] A = | 2 -3 -2 lo 0 -3] has two real eigenvalues, l1 = -3 of multiplicity 2, and 12 = -1 of multiplicity 1. Find an orthonormal basis for the eigenspace corresponding to 11.