Is it possible for a 5×5 matrix to be invertible when its columns do not span set of real numbers r^5? why or why not? select the correct choice below.
a. it is not possible; according to the invertible matrix theorem an n times nn×n matrix cannot be invertible when its columns do not span set of real numbers r^n.
b. it is possible; according to the invertible matrix theorem an n times nn×n matrix can be invertible when its columns do not span set of real numbers r^n.
c. it will depend on the values in the matrix. according to the invertible matrix theorem, a square matrix is only invertible if it is row equivalent to the identity.
d. it is possible; according to the invertible matrix theorem all square matrices are always invertible.