Answer:
a not equal to 4 and -4.
Step-by-step explanation:
As we know the inverse of a matrix is adj(A)/det(A).
|A|=8*2-a*a
|A|=16-a²
For the inverse to exists the determinant should be non-zero,|A|≠0.
16-a²≠0
(4-a)(4+a)≠0
4-a≠0 and 4+a≠0
a≠4 and a≠-4.
Hence the inverse of the matrix will exists if the values of a are not equal to 4 and -4.
