isi-entrance 2021 Q18

isi-entrance · India · UGA Matrices Determinant and Rank Computation
Consider all $2 \times 2$ matrices whose entries are distinct and taken from the set $\{ 1,2,3,4 \}$. The sum of determinants of all such matrices is
(A) 24 .
(B) 10 .
(C) 12 .
(D) 0 .
Consider all $2 \times 2$ matrices whose entries are distinct and taken from the set $\{ 1,2,3,4 \}$. The sum of determinants of all such matrices is\\
(A) 24 .\\
(B) 10 .\\
(C) 12 .\\
(D) 0 .