FINDING INVERSE AND ADJOINT OF MATRIX WORKSHEET

Problem 1 :

(1) 15     (2) 12     (3) 14     (4) 11

Solution

Problem 2 :

(1) 0     (2) -2     (3) -3     (4) -1

Solution

Problem 3 :

If A, B and C are invertible matrices of some order, then which one of the following is not true?

(1) adj A = | A | A^-1               (2) adj (AB) = (adj A)(adj B)

(3) det A^-1 = (det A)^-1           (4) (ABC)^-1 = C^-1B^-1A^-1

Solution

Problem 4 :

Solution

Problem 5 :

If A^T A^-1 is symmetric, then A² = 

(1) A^-1     (2) (A^T)²     (3) A^T     (4) (A^-1)²

Solution

Problem 6 :

Solution