Matrix question help!

[aero2146]

1) Suppose there exists a real matrix G such that GG^T (G*G transpose) = [x 0; 0 y], where x,y are real. Prove that x and y are non-negative.
2) If x = 45, y = 20 find an example of such a matrix G with integer entries

 

[Deleted member 4993]

1) Suppose there exists a real matrix G such that GG^T (G*G transpose) = [x 0; 0 y], where x,y are real. Prove that x and y are non-negative.
2) If x = 45, y = 20 find an example of such a matrix G with integer entries

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[Steven G]

1) Suppose there exists a real matrix G such that GG^T (G*G transpose) = [x 0; 0 y], where x,y are real. Prove that x and y are non-negative.
2) If x = 45, y = 20 find an example of such a matrix G with integer entries

Instead of taking the time to create the post you made here why did you not try to do this problem (if you did try things would have gone smoothly). Let G = [a b; c d]. Then what is G^T? Now multiply G and G^T and see the conditions to get [x 0; 0 y]
Similar idea for number 2.
TRY!

 

[aero2146]

Instead of taking the time to create the post you made here why did you not try to do this problem (if you did try things would have gone smoothly). Let G = [a b; c d]. Then what is G^T? Now multiply G and G^T and see the conditions to get [x 0; 0 y]
Similar idea for number 2.
TRY!

Thanks for taking the time to answer my question, but no thank you for your attitude. I asked this question here because I couldn't understand it, you don't have to yell at me and push me to try, because I assure you I gave it my best shot.