Find the 3 × 3 Matrix That Produces the Described $\left[ \begin{array} { c c c } 0.3 & - 0.4 \sqrt { 2 } & 0 \\ 0.3 \sqrt { 2 } & 0.4 & 0 \\ 0 & 0 & 1 \end{array} \right]$

question 78

Multiple Choice

Find the 3 × 3 matrix that produces the described composite 2D transformation, using homogeneous coordinates.
-Rotate points through 45° and then scale the x-coordinate by 0.6 and the y-coordinate by 0.8.

• A)
• \(\left[ \begin{array} { c c c } 0.3 & - 0.4 \sqrt { 2 } & 0 \\ 0.3 \sqrt { 2 } & 0.4 & 0 \\ 0 & 0 & 1 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { c c c } 0.3 \sqrt { 2 } & 0.3 \sqrt { 2 } & 0 \\ - 0.4 \sqrt { 2 } & 0.4 \sqrt { 2 } & 0 \\ 0 & 0 & 1 \end{array} \right]\)
• C)
• \[\left[ \begin{array} { c c c }
• 0.3 \sqrt { 2 } & - 0.3 \sqrt { 2 } & 0 \\
• 0.4 \sqrt { 2 } & 0.4 \sqrt { 2 } & 0 \\
• 0 & 0 & 1
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { c c c }
• 0 & - 0.6 & 0 \\
• 0.8 & 0 & 0 \\
• 0 & 0 & 1
• \end{array} \right]\]

Understand the concept of personal myths and how they shape individuals' perceptions of their own lives.

Understand the diverse determinants of economic success among different ethnic and social groups.

Analyze the discrepancies between income and wealth inequalities in the United States.

Comprehend how social class origins significantly shape an individual's life chances and opportunities.

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