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If A is a 3 xx 3 non-singular matrix suc...

If A is a `3 xx 3` non-singular matrix such that `A A^(T) = A^(T)A " and "B = A^(-1)A^(T), " then "B B^(T)` is equal to

A

I +B

B

I

C

`B^(-1)`

D

`(B^(-1))^(T)`

Text Solution

AI Generated Solution

To solve the problem step by step, we need to find \( B B^T \) given that \( B = A^{-1} A^T \) and \( A A^T = A^T A \). ### Step 1: Write down the expression for \( B B^T \) We start with the expression for \( B \): \[ B = A^{-1} A^T \] ...
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