- #1
~Sam~
- 80
- 0
Homework Statement
Let A, B and C be 3 x 3 invertible matrices where det A = -2 ,det B = -2 and det C is some non-zero scalar.
Then det (CTA−1B2C−1) = ?
and det [ −2(A2)TC2B−1(C−1)2] = ?
the T represents transpose and the -1 represents inverse.
Homework Equations
What does the non-zero scalar mean?
The Attempt at a Solution
I used the rule to expand the products of the determinants, but I'm not sure what to do next and what it means by non-zero scalar.