SOLUTION: Find a non-zero 2×2 matrix such that [-9, -3] [18, 6] x [_,_] [_,

SOLUTION: Find a non-zero 2×2 matrix such that [-9, -3] [18, 6] x [_,_] [_,_] = [0,0] [0,0] FILL IN THE BLANKS

Question 1159574: Find a non-zero 2×2 matrix such that
[-9, -3]
[18, 6]
x
[_,_]
[_,_]
=
[0,0]
[0,0]
FILL IN THE BLANKS
Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.


You are given this matrix equation

     * X = ,

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 = .      (1)


Now, check it on your own that

     *  = .


So,  the matrix  (1)  is your  ANSWER.

Solved.

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