Question

Given the following vector X, find a non-zero square matrix A such that AX=0:

You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix.

X= 2
-8
6

A= _ _ _
_ _ _
_ _ _

Please help, I do not understand this..

Answer 1

2 a11 - 8 a12 + 6 a13 = 0
let a11 = 1, a12 = 1 , a13 = 1

2a21 - 8 a22 + + 6 a23 = 0
again
a21 = a22 = a23
so try

1 1 1
1 1 1
1 1 1
:)

Answer 2

or
1 1 1
2 2 2
3 3 3

:)

Answer 3

Oh haha that makes so much sense now! Thank you so much.