NIELIT 2018-30

Question

If $C$ is a non-singular matrix and $B=C \begin{bmatrix} 0 & x & y \\ 0 & 0 & x \\ 0 & 0 & 0 \end{bmatrix} C^{-1}$ then:

• A. $B^2=I$
• B. $B^2 = \text{Null Matrix}$
• C. $B^3=I$
• D. $B^3 = \text{Null Matrix}$

Answer 1

D.

Multiply B thrice and you’ll get C*Null Matrix*C, equals Null Matrix.