Basic Shear Transformation Application

00:00 3 marks

Consider the shear transformation matrix that shears along the x-axis, given by \(\begin{pmatrix} 1 & k \\ 0 & 1 \end{pmatrix}\). If a point has coordinates \((3, 4)\) and the shear factor \(k\) is 2, apply the transformation to find the new coordinates.

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Hint

Remember that a shear transformation along the x-axis changes only the x-coordinate, using the formula \(x’ = x + k\,y\), while the y-coordinate remains unchanged.

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The transformed coordinates are (11, 4).

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Basic Shear Transformation Application

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Basic Shear Transformation Application

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