Matrix equation with two unknowns

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Gekkoo
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Hello I have a problem regarding matrix equations.
In my assigment two products of matrices are given, but none of the factors.
[X]'[X] = [A] (2x2)
[y]'[X] = (1x2)


I know how to solve a matrix equation with one unknown.
AX = B and take the inverse etc.

But can you give me some guidance on how to tackle the problem when there are two unkowns?
 
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