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Find the Inverse, If It Exists, for the Matrix [4510]\left[ \begin{array} { l l } 4 & 5 \\ 1 & 0 \end{array} \right]

Question 40

Multiple Choice

Find the inverse, if it exists, for the matrix.
- [4510]\left[ \begin{array} { l l } 4 & 5 \\ 1 & 0 \end{array} \right]


A)
[011545]\left[ \begin{array} { r r } 0 & - 1 \\ - \frac { 1 } { 5 } & - \frac { 4 } { 5 } \end{array} \right]
B)
[011545]\left[ \begin{array} { c c } 0 & 1 \\ \frac { 1 } { 5 } - \frac { 4 } { 5 } \end{array} \right]
C)
[451150]\left[ \begin{array} { c } - \frac { 4 } { 5 } 1 \\ \frac { 1 } { 5 } 0 \end{array} \right]
D)
[154501]\left[ \begin{array} { c c } \frac { 1 } { 5 } - \frac { 4 } { 5 } \\ 0 & 1 \end{array} \right]

Correct Answer:

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