26. Find det(A-21) if A is the matrix defined in Problem 7. 1 1 7. [1]
Find det(A – 21) if A is the matrix defined in Problem 4. Lin Problem 7 4.
27. Find det(A – 21) if A is the matrix given in Problem 4. -1 4. 2 0 - 11 3 2 -3 1
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).
7.(6) Let A be a square matrix of size 4x4 and if det(A) = -1. Find det(3A) and the rank of A.
Problem 6. Let P be an n × n permutation matrix with 1's on the anti-diagonal. Find det(P), Hint: How many exchange permutations are needed to implement P? Problem 6. Let P be an n × n permutation matrix with 1's on the anti-diagonal. Find det(P), Hint: How many exchange permutations are needed to implement P?
(1 point) Find the determinant of the matrix A= -9 1-8 3 | det(A) =
(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)
(a) A is a 4 X4 matrix and 5(A + 1) = 1. Enter det (A + 1). (b) A is a 3 x3 matrix and -A +61 = 0. Enter det (A + 1). (c) A is a 2 X2 matrix and A2 + 2 A – 35 I = 0. If det (A + I)> 0, enter det (A + I).
Matrix (1 point) If A = then det (A) - is Choose Thus, A and = det(A-1) =
Find a formula for det(rA) when A is an nxn matrix. Choose the correct answer below. A. det(rA) = det r•A B. det(rA) = rodet A C. det(A) • det A OD. det(rA) = det A