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

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- May 17th 2009, 07:50 AMspeckmagooDeterminant
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 AMIsomorphism
I take it that you mean $\displaystyle \text{det}(A^2B^{-1}C)$ and $\displaystyle \text{det}(A^{-1}B^{2}C^{-1})^{-1}$....

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

Then $\displaystyle \text{det}(A^2) = \text{det}(A)^2$ and $\displaystyle \text{det}(B^{-1}) = \text{det}(B)^{-1}$... - May 17th 2009, 10:11 AMspeckmagooReply
Thankyou very much for your assistance Isomorphism

Yes you are correct in your interpretation of the question(Nod). In regards to your suggestion, how would i go about in calculating det A^-1, det A^2, det B^-1, det B^2 and det C^-1 - May 17th 2009, 10:17 AMMoo
det(AB)=det(A)det(B)

det(A^-1)=1/det(A)