If A is a square matrix of order 3 and det(A) =1. If B =2A is another matrix, the value of det(B) is :
Answer & explanation
Correct answer: option 4
order (A) = 3, $|A|=1$
$B=2A$ so $|B|=|2A|$
$|B|=2^3|A|=2^3×1$
$|B|=8$
If A is a square matrix of order 3 and det(A) =1. If B =2A is another matrix, the value of det(B) is :
Correct answer: option 4
order (A) = 3, $|A|=1$
$B=2A$ so $|B|=|2A|$
$|B|=2^3|A|=2^3×1$
$|B|=8$