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My approach was to find A^2, leaving you with one linear equation for each of the nine cells.
Most of them are repeats; for the zero cells, you get five:
0 + 0x + 0y = 0
You also have this equation three times, along the diagonals:
1 + x + y = 0
And finally this equation, for the top-middle cell:
2 + x = 0
Which yields the solution that others have said below. My question is, is there a more systematic way of solving this?
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Linear Algebra Foundations #6 - An Equation involving Matrices
You are viewing a single comment's thread. Return to all comments →
My approach was to find A^2, leaving you with one linear equation for each of the nine cells.
Most of them are repeats; for the zero cells, you get five:
You also have this equation three times, along the diagonals:
And finally this equation, for the top-middle cell:
Which yields the solution that others have said below. My question is, is there a more systematic way of solving this?