If find A2 – 5A – 14I.
Given:
I is identity matrix so
To find
Now, we will find the matrix for A2, we get
[as cij = ai1b1j + ai2b2j + … + ainbnj]
Now, we will find the matrix for 5A, we get
So,
Substitute corresponding values from eqn(i) and (ii), we get
[as rij = aij + bij + cij]
Therefore,