The correct answer is:
E. None of the aboveStep-by-step explanation:We know that a system of equation i.e.
has infinite many solutions if det(A)=0Also, the matrix is singular if det(A)=0
and is non-singular or invertible otherwise i.e. when det(A)≠0We know that when a homogeneous system has i.e. is such that: |A|≠0 then the system has a unique solution.
The matrix that will be formed by the given set of vectors is:
Also, determinant i.e. det of matrix A is calculated by:
Hence, determinant is not equal to zero.
This means that the matrix is invertible and non-singular.