If compute A2 – 4A + 3I3.
Given:
To find the value of A2 – 4A + 3I3
I3 is an identity matrix of size 3, so
Now, we will find the matrix for A2, we get
[as cij = ai1b1j + ai2b2j + … + ainbnj]
Now, we will find the matrix for 4A, we get
So, Substitute corresponding values from eqn(i) and (ii)in equation A2 – 4A + 3I3, we get
[as rij = aij + bij + cij],
Hence the value of