What is the relationship between A and A^TA?

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3. a) Assume that A^−1 =

1 0 1
2 1 3
1 0 2

Determine the matrix A^TA
 
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what is (A^-1)^-1
 
Are these homework problems? If so, you should move these questions here. Note that "Homework Help" has some special rules, including this: you should show some work.
 
nah it was on a past mid term that i was looking at i have a final coming up soon so i was just wondering but i figured it out after computing (A^-1)^-1

i guess that is A so I just take the transpose of that and multiply it by A
 

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
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