Solve the matrix equations:
Now we will multiply the two first matrices on LHS using the formula cij = ai1b1j + ai2b2j + … + ainbnj, we get
Again multiply these two LHS matrices, we get
⇒ x2 – 9x + 32x = 0
⇒ x2 – 23x. This is form of quadratic equation, we will solve this, we get
⇒ x(x – 23) = 0
⇒ x = 0 or x – 23 = 0
This gives, x = 0 or x = 23 is the required solution of the matrices.