Linear Algebra Quiz
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Let u⃗,v⃗,w⃗\vec{u}, \vec{v}, \vec{w} be vectors in R3\mathbb{R}^3. If the determinant of the matrix with columns [u⃗,v⃗,w⃗][\vec{u}, \vec{v}, \vec{w}] is 5, what is the determinant of the matrix with columns [u⃗+v⃗,v⃗+w⃗,w⃗−u⃗][\vec{u}+\vec{v}, \vec{v}+\vec{w}, \vec{w}-\vec{u}]?
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