Determinants Matrices Question 131
Question: If $ B= \begin{bmatrix} 3 & 4 \\ 2 & 3 \\ \end{bmatrix} $ and $ C= \begin{bmatrix} 3 & -4 \\ -2 & 3 \\ \end{bmatrix} $ and $ X=BC $ ,find $ X^{n} $
Options:
A) 0
B) I
C) 2I
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ X=BC= \begin{bmatrix} 3 & 4 \\ 2 & 3 \\ \end{bmatrix} \begin{bmatrix} 3 & -4 \\ -2 & 3 \\ \end{bmatrix} $
$ \Rightarrow X=BC= \begin{bmatrix} 1 & 0 \\ 0 & 1 \\ \end{bmatrix} =ISoX^{n}=I^{n}=I $
BETA
