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Multiplicative Inverses of Matrices and Matrix Equations
1 Find the Multiplicative

Question 72

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Multiplicative Inverses of Matrices and Matrix Equations
1 Find the Multiplicative Inverse of a Square Matrix
- A=[1001210011120001],B=[1001210211130001]A = \left[ \begin{array} { r r r r } 1 & 0 & 0 & - 1 \\2 & 1 & 0 & 0 \\1 & 1 & 1 & - 2 \\0 & 0 & 0 & 1\end{array} \right] , \quad B = \left[ \begin{array} { r r r r } 1 & 0 & 0 & 1 \\- 2 & 1 & 0 & - 2 \\1 & - 1 & 1 & 3 \\0 & 0 & 0 & 1\end{array} \right]


A) B=A1\mathrm { B } = \mathrm { A } ^ { - 1 }
B) BA1B \neq A ^ { - 1 }

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