SOLUTION: This homework problem has been stumping me. I am given this matrix: Matrix M = {{1,0,2},{-1,1,2},{-1,-1,2}} Then asked to solve this equation: M^3 + xM^2 + yM + zI = 0 I

Question 877521: This homework problem has been stumping me.
I am given this matrix:
Matrix M = {{1,0,2},{-1,1,2},{-1,-1,2}}
Then asked to solve this equation:
M^3 + xM^2 + yM + zI = 0
I is the 3x3 identity matrix. x, y, and z are constants
Any hints on how to get started would be appreciated! Thank you
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!

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Using the first row of matrix elements,

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Which leads to

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All three rows yield the same results so it is consistent.

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