a. Find the values of k for which the matrix A is invertible. 1 20 A=...

  

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a. Find the values of k for which the matrix A is invertible. 1 20 A= k 1 k 021 b. Given a 4 x 4 matrix A for which det(A) = -2, evaluate the following determinants: i. det(-A) ii. det(A-1) iii. det (2AT) iv. det(A) C. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse. 200 A = 8 10 -5 36 d. Solve the linear system by Cramer's rule. x-4y+z = 6 4x-y+2z-1 = 2x+2y-3z = -20 a. Find the values of k for which the matrix A is invertible. 1 20 A= k 1 k 021 b. Given a 4 x 4 matrix A for which det(A) = -2, evaluate the following determinants: i. det(-A) ii. det(A-1) iii. det (2AT) iv. det(A) C. Decide whether the matrix is invertible, and if so, use the adjoint method to find its inverse. 200 A = 8 10 -5 36 d. Solve the linear system by Cramer's rule. x-4y+z = 6 4x-y+2z-1 = 2x+2y-3z = -20