Evaluate the determinant, in which the entries are functions. Determinants of this type occur when changes of variables are made in calculus. $$\left|\begin{array}{cc} 6 u & -1 \\ -1 & 3 v \end{array}\right|$$
Added by Kathleen R.
Step 1
First, recall the formula for the determinant of a 2x2 matrix: $$\det(A) = \left|\begin{array}{cc} a & b \\ c & d \end{array}\right| = ad - bc$$ Now, apply this formula to the given matrix: $$\det\left(\begin{array}{cc} 6 u & -1 \\ -1 & 3 v Show more…
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