Determinants Matrices Question 75
Question: Let A be an $ n\times n $ matrix. If $ \det (\lambda A)={{\lambda }^{s}}\det (A), $ what is the value of s-
Options:
A) $ 0 $
B) $ 1 $
C) $ -1 $
D) $ n $
Show Answer
Answer:
Correct Answer: D
Solution:
- [d] We know, if A is an $ n\times n $ matrix, then $ \det (\lambda A)={{\lambda }^{s}}\det (A) $ But given $ \det (\lambda A)={{\lambda }^{s}}\det A\Rightarrow s=n $
BETA
