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To test for linear independence, write the coefficient equation as a homogeneous matrix system by placing the tested vectors into the columns of a matrix. Then perform row reduction on this matrix.

Conditions: You have a set of vectors to test.; You are forming a homogeneous system $Ax=0$.; The vectors are placed as columns in matrix $A$.

To test for linear independence, write the coefficient equation as a homogeneous matrix system by placing the tested vectors into the columns of a matrix. Then perform row reduction on this matrix.

Conditions: You have a set of vectors to test.; You are forming a homogeneous system $Ax=0$.; The vectors are placed as columns in matrix $A$.