Use a Graphing Calculator to Find the Inverse of the Matrix.​

question 54

Multiple Choice

Use a graphing calculator to find the inverse of the matrix.​ $$\left[ \begin{array} { l l l l } 1 & 4 & 8 & 3 \\0 & 1 & 4 & 8 \\0 & 0 & 1 & 4 \\0 & 0 & 0 & 1\end{array} \right]$$ ​ ​

• A)​ \[\left[ \begin{array} { c c c c }
• 1 & 4 & 8 & - 3 \\
• 0 & 1 & - 4 & 8 \\
• 0 & 0 & 1 & 4 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• B)​ \[\left[ \begin{array} { c c c c }
• 1 & - 4 & 8 & 3 \\
• 0 & 1 & - 4 & 8 \\
• 0 & 0 & 1 & - 4 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• C)​ \[\left[ \begin{array} { c c c c }
• 1 & - 4 & - 8 & - 3 \\
• 0 & 1 & - 4 & - 8 \\
• 0 & 0 & 1 & - 4 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• D)​ \[\left[ \begin{array} { c c c c }
• 1 & - 4 & 8 & - 3 \\
• 0 & 1 & - 4 & 8 \\
• 0 & 0 & 1 & - 4 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]
• E)​ \[\left[ \begin{array} { c c c c }
• 1 & 4 & 8 & - 3 \\
• 0 & 1 & 4 & 8 \\
• 0 & 0 & 1 & 4 \\
• 0 & 0 & 0 & 1
• \end{array} \right]\]

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Definitions:

Self-Determination Theory

The theory that we feel motivated to satisfy our needs for competence, autonomy, and relatedness.

Competence

The ability or skill to do something successfully or efficiently.

Personal Control

The extent to which an individual perceives control over their environment and decisions affecting their life.

Affiliation Need

The need to build relationships and to feel part of a group.