Question 1159507
.
Find a non-zero 2×2 matrix such that:
[-9, -3] * [] = [0, 0]
[18, 6] [] [0, 0]
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<pre>
Looking at the first (2x2)-matrix, you may notice that its first column is three times the second column.


It tells you to take the first column of the second (2x2)-matrix as  {{{(matrix(2,1, 1,-3))}}}.




Looking again at the first (2x2)-matrix, you may notice that its second column is one third times the first column.


It tells you to take the second column of the second (2x2)-matrix as  {{{(matrix(2,1, 1/3,-1))}}}.



Thus, the second matrix can be taken as  {{{(matrix(2,2, 1, 1/3,  -3, -1))}}}.



Now you may check, making handle calculations, that

    {{{(matrix(2,2, -9,-3,  18, 6))}}}*{{{(matrix(2,2, 1, 1/3,  -3, -1))}}} = {{{(matrix(2,2, 0.0, 0.0, 0.0, 0.0))}}},   QED.
</pre>

This way, the problem is just solved, and one instance matrix is found.


But this solution is not a unique.


Every other matrix, c-times the found, where 'c' is any non-zero constant value, has the same property.