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.

Printable View

- May 4th 2011, 06:32 AMkaragorgeProblem with a matrix
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. - May 4th 2011, 07:01 AMTheEmptySet
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