A=([1,2,-5,-1],[0,-1,3,x],[1,2,-1,0]),B=([2,-3],[-1,5],[0,2],[1,-4]),C=([1,2],[3,4]),D=([1,-2],[0,1])
Calculate
AB,C^(2),C^(-1)
and
DC^(-1)
Justify that there exists one matrix such that
C^(3)+2MC-C^(2)+4D=0
Expres
M
according to
C
and
D
then calculate
M
explicitly. (It is unnecessary to calculate
C^(3)
. Don't do it.