Show that the vectors and are linearly independent.

MATHEMATICS · Subjective · IB Diploma Programme · Mathematics: Applications and Interpretation · Number and Algebra · Number and Algebra

Problem

Show that the vectors

\hat{i} - 3\hat{j} + 2\hat{k}, 2\hat{i} - 4\hat{j} - \hat{k}

and

3\hat{i} + 2\hat{j} - \hat{k}

are linearly independent.