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Determinantsmedium
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Three vectors form the rows of matrix AAA: v1=(213)\mathbf{v}_1 = \begin{pmatrix} 2 \\ 1 \\ 3 \end{pmatrix}v1​=​213​​, v2=(426)\mathbf{v}_2 = \begin{pmatrix} 4 \\ 2 \\ 6 \end{pmatrix}v2​=​426​​, v3=(101)\mathbf{v}_3 = \begin{pmatrix} 1 \\ 0 \\ 1 \end{pmatrix}v3​=​101​​. What can we conclude about det⁡(A)\det(A)det(A)?