Find the 3 × 3 Matrix That Produces the Described $\left[ \begin{array} { r r r r } - 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{array} \right]$

question 35

Multiple Choice

Find the 3 × 3 matrix that produces the described transformation, using homogeneous coordinates.
-Reflect through the x-axis

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

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Definitions:

Mean

The average of a set of numbers, calculated by summing them together and then dividing by the number of values.

Rounding Rules

Guidelines or conventions for approximating a numerical value to a desired level of precision, often to simplify calculations or presentation.

Rounded

The process of adjusting a numerical value to its nearest preferred value, often to a specified degree of precision.

Rounding Rules

Guidelines for adjusting the digits of numbers to a specific place value, often used to simplify numbers or to adhere to a level of precision.