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:

Personality

The combination of characteristics or qualities that form an individual's unique character.

Reality Principle

A concept in psychoanalytic theory referring to the ability of the mind to assess the external world and act upon it accordingly, as opposed to acting on the pleasure principle.

Ego

In psychology, a part of the mind that mediates between the conscious and the unconscious and is responsible for reality testing and a sense of personal identity.

Personality Test

A questionnaire or other standardized instrument designed to reveal aspects of an individual's character or psychological makeup.