Use a Graphing Utility to Find the Inverse of the Matrix

question 18

Multiple Choice

Use a graphing utility to find the inverse of the matrix, if it exists. Round answers to two decimal places, if necessary.
- $$\left[ \begin{array} { r r r r } 1 & - 4 & 0 & 0 \\0 & 1 & - 2 & 0 \\0 & 0 & 1 & - 1 \\0 & 0 & 0 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r r } 1 & 1 & - 2 & 8 \\ 0 & 1 & 2 & - 8 \\ 0 & 0 & 1 & 4 \\ 0 & 0 & 0 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { l l l l } 1 & 0 & 0 & 0 \\ 4 & 1 & 0 & 0 \\ 8 & 2 & 1 & 0 \\ 4 & 2 & 1 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { r r r r } 1 & 0 & 0 & 0 \\ 1 & 1 & 0 & 0 \\ - 2 & 2 & 1 & 0 \\ 8 & - 8 & 4 & 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { l l l l } 1 & 4 & 8 & 8 \\ 0 & 1 & 2 & 2 \\ 0 & 0 & 1 & 1 \\ 0 & 0 & 0 & 1 \end{array} \right]\)

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Definitions:

Pillbox

A small container used to store pills, often designed with compartments for different days of the week or times of day.

Application

The act of applying or a formal request for something, typically a job, membership, or permission to use software.

Inhalants

Substances that produce chemical vapors, which, when inhaled, can cause mind-altering effects and are often misused.

Breathed In

The act of inhaling air or gas into the lungs.