1 -4
-6 -6
Note: The set of numbers above is the matrix M.
Find c1 and c2 such that M^2 + c1M + c2I2 = 0, where I2 is the identity 2 x 2 matrix.
I got stuck after I merged c1 and c2 into their respective matrices and calculated the square of M.
By rearranging the equation (after merging c1 and c2 and squaring M), I got:
c1 -4c1 + c2 0 = -1 -16 This gave me a c1 value of 4 and c2 value of -12. Neither of which were correct.
-6c1 -6c1 0 c2 -36 -36
-6 -6
Note: The set of numbers above is the matrix M.
Find c1 and c2 such that M^2 + c1M + c2I2 = 0, where I2 is the identity 2 x 2 matrix.
I got stuck after I merged c1 and c2 into their respective matrices and calculated the square of M.
By rearranging the equation (after merging c1 and c2 and squaring M), I got:
c1 -4c1 + c2 0 = -1 -16 This gave me a c1 value of 4 and c2 value of -12. Neither of which were correct.
-6c1 -6c1 0 c2 -36 -36
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