Let be a polynomial of degree n in x with real coefficients. For any mxm matrix A, we define .
Show that, if and , then A must be invertible. [Hint: isolate Im from the equation P(A) = 0m]
by the way what is
[2 0 0]
[0 2 0]
[0 0 2] -2 ? it's like the identity but it's 2 instead of 1, can the matrix subtract a number
For A =
[2 2 -1]
[-1 -1 1]
[2 4 -1] , compute , if , calculate P(A). Calculate .) Can you explan this,>?