- #1

mpm

- 82

- 0

Prove that if A is nonsingular then A^T is nonsingular and

(A^T)^-1 = (A^-1)^T

Hint: (AB)^T = B^T*A^T

I understand the hint, but I can't seem to get an image of the actual problem.

Can anyone help me?

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- Thread starter mpm
- Start date

- #1

mpm

- 82

- 0

Prove that if A is nonsingular then A^T is nonsingular and

(A^T)^-1 = (A^-1)^T

Hint: (AB)^T = B^T*A^T

I understand the hint, but I can't seem to get an image of the actual problem.

Can anyone help me?

- #2

quasar987

Science Advisor

Homework Helper

Gold Member

- 4,793

- 21

Start from [itex](A^{-1}A)^T=I[/itex].

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