(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a spanning set for the space

T(A) = {X in R5 : AX=(A^T)X} , where A^T (A transpose)

A = 58, -20, -4, -35, 34

-20, 58, 31, 1, -36

-4, 31, 43, 7, -21

18, 18, -17, 31, -12

34, -36, -21, -27, 69

2. Relevant equations

3. The attempt at a solution

I don't understand what this question is really asking for...

What I understand is a spanning set is a set that be written as a linear combination. For ex.

{ X1, X2,...Xk} can be written as aX1+bX2+...cXk.

Since I know by a nxn matrix, I took the determinant of A^t) which was not 0, so the column matrix was linearly independent. So i just wrote the spanning set as the Column vectors.

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# Homework Help: Find a Spanning Sets for a space AX=(A^T)X

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