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To construct the 3x3 matrix, observe where the three standard basis vectors ($\hat{i}$, $\hat{j}$, and $\hat{k}$) land after the transformation. Record the final coordinates of these transformed vectors as column vectors.

Conditions: Working in three-dimensional Cartesian space.; The transformation is linear.

To construct the 3x3 matrix, observe where the three standard basis vectors ($\hat{i}$, $\hat{j}$, and $\hat{k}$) land after the transformation. Record the final coordinates of these transformed vectors as column vectors.

Conditions: Working in three-dimensional Cartesian space.; The transformation is linear.