Question

Let a and b be 3 by 3 matrices with det (a) = 3 and det (b) = 5. find the value of det(ab).

Answer 1

If the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

Given that the value of determinant a is 3, determinant b is 5.

We are required to find the value of determinant ab.

Determinant of a matrix is the scalar value computed for a given square matrix.It means the matrix which is not square does not have a determinant value.  It is denoted by IAI.

We know that,

IaI*IbI=IabI

So we have to just put the values in the above formula to get the determinant of ab.

IabI=3*5

=15

Hence if the value of determinant a is 3, determinant b is 5 then the value of determinant ab is 15.

Learn more about determinants at https://brainly.com/question/28044565

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