if A and B are square matrices of order 3 such that |A|=-1 , |B|= 3 then |3AB| is equaal - Maths - Matrices

Question

if A and B are square matrices of order 3 such that |A|=-1 ,
|B|= 3 then |3AB| is equaal to

Anuradha Sharma · Accepted Answer

We know that, kA=knA if A is nth order
Here 3AB=33ABNow putting these value from the given we get, =27×-13=-81

if A and B are square matrices of order 3 such that |A|=-1 , |B|= 3 then |3AB| is equaal to