If and are two square matrices, find A B and hence solve the system of linear equations: X – y = 3, 2x + 3y + 4z = 17, y + 2z = 7.
A = B =
AB =
AB =
Now, we can see that it is AB = 6I. where I is the unit Matrix
Or, A – 1 =
Now the given equation can be written as:
A X B
Or, X = A – 1B
=
=
X =
Hence, x = 2,y = – 1 and z = 4