Matrices: operations and inverse

Question 1 of 10

The inverse of [[a, b], [c, d]] is

Question 2 of 10

Find the inverse of [[−1, 2], [0, 2]].

Question 3 of 10

Matrix multiplication AB is possible if

Question 4 of 10

A 2 × 3 matrix can be multiplied by a 3 × 2 matrix.

Question 5 of 10

Show that if A² = A then A(A − I) = 0.

Question 6 of 10

Find AB where A = [[−1, 1], [−2, 0]] and B = [[−1, 0], [1, −2]].

Question 7 of 10

The inverse of the identity matrix is the identity matrix.

Question 8 of 10

A 2 × 2 matrix A has determinant 7. Find the determinant of 3A.

Question 9 of 10

The determinant of [[5, 4], [4, 1]] is ___

Question 10 of 10

The determinant of [[3, 2], [4, 5]] is ___