Home /
Expert Answers /
Algebra /
please-show-work-determine-if-the-columns-of-the-matrix-form-a-linearly-independent-set-1233-pa820

Please show work

Determine if the columns of the matrix form a linearly independent set. $?123?3712??3?33?30?15??$ Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. A. The columns of the matrix do not form a linearly independent set because the set contains more vectors, than there are entries in each vector, (Type whole numbers.) B. The columns of the matrix do not form a linearly independent set because there are more entries in each vector, , than there are vectors in the set, (Type whole numbers.) C. Let $A$ be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, $Ax=0$, has only the trivial solution. D. The columns of the matrix form a linearly independent set because at least one vector in the set is a constant multiple of another.