Hi i got stuck on this problem - pls help if u can:
Find all scalar matrices
A^3 + 2A^2 - 4A - 8I_2 = 0
where I_2 is identity matrix.
Given the above get the polynomial
Since this polynomial is in the annihilating Ideal the minimum polynomial must divide the above polynomial
Since we are working with
Matrices
We can have the following minimum polynomials
So up to similarity you will get the 4 matrices