Question 1159574
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<pre>

You are given this matrix equation

    {{{(matrix(2,2, -9,-3,  18,6))}}} * X = {{{(matrix(2,2, 0,0,  0,0))}}},

where X is 2x2 unknown NON-ZERO matrix to find.


Notice that the given matrix on the left of matrix X has the left column exactly THREE TIMES as its right column.


Therefore, our task is to find the unknown matrix X in such a way that, applied to the left-most matrix as a factor from the right, 

it would produce the zero 2x2-matrix.


It leads to   

    X = {{{(matrix(2,2, 1,1,  -3,-3))}}}.      (1)


Now, check it on your own that

    {{{(matrix(2,2, -9,-3,  18,6))}}} * {{{(matrix(2,2, 1,1,  -3,-3))}}} = {{{(matrix(2,2, 0,0,  0,0))}}}.


So,  the matrix  (1)  is your  <U>ANSWER</U>.
</pre>

Solved.