Skip to main content\(\newcommand{\avec}{{\mathbf a}}
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\)
This interactive diagram has a set of six sliders across the top. In the top row are three sliders labelled
\(a\text{,}\) \(b\text{,}\) and
\(c\text{.}\) In the bottom row are three sliders labelled
\(d\text{,}\) \(e\text{,}\) and
\(f\text{.}\) The reader can move these sliders to define a matrix transformation defined by the matrix
\(\begin{bmatrix}a \amp b \amp c \\
d \amp e \amp f \\
0 \amp 0 \amp 1 \\
\end{bmatrix}\text{.}\)
Below the set of six sliders is a set of two diagrams. The left depicts the stick figure character that was introduced earlier. On the right is shown the result of applying the matrix transformation to the stick figure.
Furthermore, there are two buttons at the bottom of the diagram labelled “Compose” and “Reset”.
Instructions.
The diagram below allows you to choose parameters
\(a, b, \ldots, f\) to define the matrix associated to the matrix
\(\begin{bmatrix}
a \amp b \amp c \\
d \amp e \amp f \\
0 \amp 0 \amp 1 \\
\end{bmatrix}\text{.}\) The transformation’s effect on our character is shown on the right.
