# Determinant

• May 17th 2009, 07:50 AM
speckmagoo
Determinant
Suppose det A = 3, det B = -2/3, det C = ½
a) find det(A2B-1C)

b) find det(A-1B2C-1)-1

Thankyou in advance for any assistance provided
• May 17th 2009, 09:59 AM
Isomorphism
Quote:

Originally Posted by speckmagoo
Suppose det A = 3, det B = -2/3, det C = ½
a) find det(A2B-1C)

b) find det(A-1B2C-1)-1

Thankyou in advance for any assistance provided

I take it that you mean $\text{det}(A^2B^{-1}C)$ and $\text{det}(A^{-1}B^{2}C^{-1})^{-1}$....

Have you tried using the idea that $\text{det}(A^2B^{-1}C) = \text{det}(A^2)\text{det}(B^{-1})\text{det}(C)$?

Then $\text{det}(A^2) = \text{det}(A)^2$ and $\text{det}(B^{-1}) = \text{det}(B)^{-1}$...
• May 17th 2009, 10:11 AM
speckmagoo