The problem is setting up the equation, it says that the matrix equation will be made up of four equations for the 2 unknowns.
I'm supposed to find for which a's and b's the equation is true, using a linear system and gaussian elimination.
A2 + aA + bI2 = 0
A = | 3 1|
......| 4 -2|
I2 = identity matrix, 2x2
A2 = | 13 5 |
.......| 4 8 |
The Attempt at a Solution
I'm not sure how to proceed with this problem.
How do I split the equation into 4 equations with respect to the variables a and b?