Find the inverse of the matrix A=⎡⎢⎣123111234⎤⎥⎦
Inverse doesn’t exist
Give matrix is,
A=⎡⎢⎣123111234⎤⎥⎦
Lets first find the determinant to use in the equation.
A−1=1|A|.Adj(A).
If |A| = 0 we can rightway say that the inverse doesn’t exist.
|A|=1(1) - 2 (2) +3(1)
=1 - 4 + 3
= 0
This shows that the given matrix is non-invertible or singular.
Hence the inverse doesn’t exist.