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(Solved): Please show work Determine if the columns of the matrix form a linearly independent set. 1233 ...



Determine if the columns of the matrix form a linearly independent set.
\[
\left[\begin{array}{rrrr}
1 & 3 & -3 & 3 \\
2 & 7Please show work

Determine if the columns of the matrix form a linearly independent set. 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 be the given matrix. Then the columns of the matrix form a linearly independent set since the vector equation, , 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.


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