Determinants Matrices Question 169
Question: A is an involuntary matrix given by then the inverse of A/2 will be
Options:
A) 2A
B) $ \frac{{A^{-1}}}{2} $
C) $ \frac{A}{2} $
D) $ A^{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
- [a] A is involuntary. Hence, $ A^{2}=I\Rightarrow A={A^{-1}} $ Also, $ {{(kA)}^{-1}}=\frac{1}{k}{{(A)}^{-1}} $ Or $ {{( \frac{1}{2}A )}^{-1}}=2{{(A)}^{-1}} $ or 2A
BETA
