5404316975
a b c d
then the product of A and B is given by
AB =
and B =
w x V z
aw + by ax + bz cw + dy cx + dz
In generał, AB ^ BA. Let '2 1
0 3
and C(P) = { A e M2(R) | PA = AP }.
Thus, C(P) is the set of all matrices that commute with P under matrix multiplication. Also, let
a b 0 cl -j- b
S=<j AeM2(l) Prove that C(P) = S.
for some a, b G
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