Use a Graphing Utility to Find the Inverse of the Matrix

question 47

Multiple Choice

Use a graphing utility to find the inverse of the matrix, if it exists. Round answers to two decimal places, if necessary.
- $$\left[ \begin{array} { r r r r } 1 & - 9 & 0 & 0 \\0 & 1 & - 7 & 0 \\0 & 0 & 1 & 1 \\0 & 0 & 0 & 1\end{array} \right]$$

• A) \(\left[ \begin{array} { r r r r } 1 & 0 & 0 & 0 \\ - 1 & 1 & 0 & 0 \\ 7 & 7 & 1 & 0 \\ - 63 & - 63 & 9 & 1 \end{array} \right]\)
• B) \(\left[ \begin{array} { r r r r } 1 & 0 & 0 & 0 \\ 9 & 1 & 0 & 0 \\ 63 & 7 & 1 & 0 \\ - 9 & - 7 & - 1 & 1 \end{array} \right]\)
• C) \(\left[ \begin{array} { c c c c } 1 & 9 & 63 & - 63 \\ 0 & 1 & 7 & - 7 \\ 0 & 0 & 1 & - 1 \\ 0 & 0 & 0 & 1 \end{array} \right]\)
• D) \(\left[ \begin{array} { r r r r } 1 & - 1 & 7 & - 63 \\ 0 & 1 & 7 & - 63 \\ 0 & 0 & 1 & 9 \\ 0 & 0 & 0 & 1 \end{array} \right]\)

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Definitions:

Earliest Primates

The initial members of the primate order, dating back to the Paleocene epoch, ancestral to modern primates including humans, apes, monkeys, and prosimians.

Bipedalism

The ability to walk upright on two legs, a key feature in human evolution.

Savannah Environment

A landscape characterized by open grasslands with scattered trees, often found in Africa, which supports a diverse ecosystem including many grazing animals and predators.

Recent African Origins

A theory proposing that modern humans originated relatively recently in Africa and then dispersed to other continents.