Chapter 3: Matrices

Important Questions

1. Find the value of a if

2.

3. If A is a square matrix such that A2 = I, then find the simplified value of
(A-I)³ + (A+I)³ – 7a

4.

5. For what value of x the matrix is singular?

Sample Questions

1. If , find A² – 5A + 4I and hence find a matrix X such that A² – 5A + 4I + X = 0.

2.

3.

4.

5.