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. $A = \left[ \begin{array} { c c } - 4 & - 3 \\- 1 & 7\end{array} \right]$ Matrix I: $\frac { 1 } { 31 } \left[ \begin{array} { c c } - 7 & - 3 \\ - 1 & 4 \end{array} \right]$
Matrix II : $\frac { 1 } { 31 } \left[ \begin{array} { c c } 4 & 3 \\ 1 & - 7 \end{array} \right]$
Matrix III : $\frac { 1 } { 31 } \left[ \begin{array} { c c } 7 & - 3 \\ - 1 & - 4 \end{array} \right]$

• 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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