Use the fact that cA| = |A to evaluate the determinant of the nxn matrix. A=...
use a graphing utility to evaluate the determinant for the given matrix shown to the right Jse a graphing utility to evaluate the determinant of the matrix shown to the right. 3 3 1 1-2 2 3 1 - 1 20 3 -5 -5 - -1 0 03 20 -5 -5 -2 1
general order n x n 2.21 Find the determinant and inverse of the nxn matrix 10 1 1 ... 1 0 1 ... 1 1 0 ... 1 1 1 1 1 1 ...
Use a graphing utility to evaluate the determinant for the given matrix. - 1 1 - 1 -3 2 2 1 6 3 0 0 an 5 -4 -4 -3 - 1 1 -1 - 3 2 2 1 6 3 0 0 5 5 -4 -4
Evaluate the determinant of the matrix and state whether the matrix is invertible. 1 -3 17 E=1-17 2 -5 29 Part: 0/2 Part 1 of 2 The determinant is
need help with part 2. is the matrix invertible or not invertible? Evaluate the determinant of the matrix and state whether the matrix is invertible. 7-72 C=-1-5 6 -5 9 4 Part 1 of 2 The determinant is 268 Part: 1/2 Part 2 of 2 invertible. The matrix (Choose one is is not Х
8. Let A be an nxn matrix with distinct n eigenvalues X1, 2... (a) What is the determinant of A. (b) If a 2 x 2 matrix satisfies tr(AP) = 5, tr(A) = 3, then find det(A). (The trace of a square matrix A, denoted by tr(A), is the sum of the elements on the main diagonal of A.
(12 points) Evaluate the determinant of the matrix D using cofactor expansion down the second column, then find det(3D) and det((2D)-1). D = [ 1 -5 301 3 0 4 3 -1 0 -3 0 I 3 8 6 2
Evaluate the determinant of the given matrix. Answer should be 16. Please show work. 12 3 4 35. 2 3 6 7 1 5 8 20
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]
Show that the matrix is not diagonalizable. 1-42 13 0 02 STEP 1: Use the fact that the matrix is triangular to write down the eigenvalues. (Enter your answers from smallest to largest.) (11.22) = STEP 2: Find the eigenvectors Xi and X2 corresponding to 1, and 12, respectively. X1 = X2 - STEP 3: Since the matrix does not have ---Select-- linearly independent eigenvectors, you can conclude that the matrix is not diagonalizable.