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Find the Inverse of a If It Has One, or State

Question 267

Multiple Choice

Find the inverse of A if it has one, or state that the inverse does not exist.
- A=[400010002]A = \left[ \begin{array} { r r r } - 4 & 0 & 0 \\0 & - 1 & 0 \\0 & 0 & 2\end{array} \right]


A) Inverse does not exist
B)
[14000100012]\left[ \begin{array} { c c c } \frac { 1 } { - 4 } & 0 & 0 \\0 & - 1 & 0 \\0 & 0 & \frac { 1 } { 2 }\end{array} \right]
C)
[00140101200]\left[ \begin{array} { c c c } 0 & 0 & \frac { 1 } { - 4 } \\0 & - 1 & 0 \\\frac { 1 } { 2 } & 0 & 0\end{array} \right]
D)
[400010002]\left[ \begin{array} { r r r } 4 & 0 & 0 \\0 & 1 & 0 \\0 & 0 & - 2\end{array} \right]

Correct Answer:

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