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Determinantsmedium
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What is the determinant of a 3×33 \times 33×3 matrix with columns v1⃗,v2⃗,v3⃗\vec{v_1}, \vec{v_2}, \vec{v_3}v1​​,v2​​,v3​​ if v3⃗=2v1⃗+v2⃗\vec{v_3} = 2\vec{v_1} + \vec{v_2}v3​​=2v1​​+v2​​?