Determinants Matrices Question 108
Question: Number of square sub-matrices of order 2 (sub-matrix is obtained by deleting appropriate number of rows and columns in a given matrix) that can be formed from the matrix $ \begin{bmatrix} 1 & 2 & -1 & 4 \\ 2 & 4 & 3 & 5 \\ -1 & -2 & 6 & -7 \\ \end{bmatrix} $ is
Options:
A) 12
B) 15
C) 18
D) $ 2^{12} $
Show Answer
Answer:
Correct Answer: C
Solution:
- [c] The desired number of sub-matrices $ ={{}^{4}}C_2\times {{}^{3}}C_2=18 $
BETA
