Algebra

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..

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  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
    :)

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  2. or
    1 1 1
    2 2 2
    3 3 3

    :)

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

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