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Find Which of the Following Matrices Is an Inverse to the Matrix

Question 88

Multiple Choice

Find which of the following matrices is an inverse to the matrix A below if any. A=[4317]A = \left[ \begin{array} { c c } - 4 & - 3 \\- 1 & 7\end{array} \right] Matrix I: 131[7314]\frac { 1 } { 31 } \left[ \begin{array} { c c } - 7 & - 3 \\ - 1 & 4 \end{array} \right]
Matrix II : 131[4317]\frac { 1 } { 31 } \left[ \begin{array} { c c } 4 & 3 \\ 1 & - 7 \end{array} \right]
Matrix III : 131[7314]\frac { 1 } { 31 } \left[ \begin{array} { c c } 7 & - 3 \\ - 1 & - 4 \end{array} \right]


A) Each of the matrices I and II is an inverse of A.
B) Each of the matrices I and III is an inverse of A.
C) Matrix II is an inverse of A.
D) Matrix I is an inverse of A.
E) None of the matrices is an inverse of A.

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