Question

which matrix is congruent to A=[2 1 0; 1 1 1; 0 1 k] ?

Answer 1

can u help me, bobbyleary? :)

Answer 2

I took linear algebra a year ago, but never learned about congruency. I'm reading up on it to see if you and I can work together to solve it.

Answer 3

we can try :) I have matrix A, 3x3 type. When I add identity matrix on right side, I get 3x6 matrix. Now I have to do linear transformation to that matrix and, doing that, to get diagonal matrix on A's place. Part which is on identity matrix's part is transposed congruent matrix. I hope u understand what I said :D Should I attach file, maybe u'll understand better? :)

Answer 4

Sure attach a file. Thank you.

Answer 5

wait a minute :)

Answer 6

I can't :D I don't have word installed :D I'll try to find some example

Answer 7

Okay. Sorry if I can't help you. Nobody else is trying so I figured I would give it a try.

Answer 8

I see... It seems nobody's good in linear algebra :D

Answer 9

thanks for trying to help me, I'll try to do it myself :)

Answer 10

Okay. Good luck. Please post the answer if you get it!

Answer 11

ok :)

Answer 12

can u try to solve other problems from linear algebra I posted?

Answer 13

From a Google search on congruent matrix:
"A square matrix is congruent to its transpose"
http://mathoverflow.net/questions/21544/a-square-matrix-is-congruent-to-its-transpose

The transpose of the problem matrix looks identical to the problem matrix in appearance.
The transpose of the arbitrary square matrix,
{{a, b, c}, {d, e, f}, {g, h, i}} is:
{{a, d, g}, {b, e, h}, {c, f, i}}
The transpose of the problem matrix
{{2, 1, 0}, {1, 1, 1}, {0, 1, k}} is:
{{2, 1, 0}, {1, 1, 1}, {0, 1, k}}

Answer 14

I just forgot to write that I need to find diagonal congruent matrix :DDD