Determinants Matrices Question 49
Question: The maximum and minimum value of $ (3\times 3) $ determinant whose elements belongs to $ {0,1} $ is
Options:
A) $ 1,-1 $
B) $ 2,-2 $
C) $ 4,-4 $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
- [b] $ {{| A |} _{\max }}= \begin{bmatrix} 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 0 \\ \end{bmatrix} =0-(-1)+1(1)=2 $
$ \therefore {{| A |} _{\min }}=-2 $
BETA
