$4\mathrm{.}6$ MATLAB: $\%$Enter vectors v$1,$ v$2,$ v$3,$ and v$4.$

$\%$Create a matrix A with the given vectors placed in the columns of A$.$

$\%$Create the appropriately sized identity matrix, storing it in I.

$\%$Augment A with the identity matrix, storing it in augA.

$\%$Row reduce augA, storing it in reduced$\_$augA.

$\%$Use the pivot colulmns in reduced$\_$augA to identify which of the original vectors are

$\%$included in the basis, along with which columns of the identity matrix are included in

$\%$the basis. Create a matrix containing the basis vectors, storing it in BasisMatrix.Basis