- #1
n3kt
- 5
- 0
Homework Statement
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
Homework Equations
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.