Lemma
MediumLinear systems
Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) §11.4 Matrices and Linear Equations, #31 · Linear Algebra · Linear systems

For … and … write out … and factor its determinant into…

For and write out and factor its determinant into . Therefore .

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Gilbert Strang, Calculus, 3rd edition (Wellesley-Cambridge Press; MIT OpenCourseWare RES.18-001) · §11.4 Matrices and Linear Equations, #31

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