Describe shear from matrix

Identify and fully describe a shear transformation from a given 2x2 matrix, including invariant axis and shear factor.

1 questions · Moderate -0.8

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OCR MEI Further Pure Core AS Specimen Q2
4 marks Moderate -0.8
  1. Describe fully the transformation represented by the matrix \(\begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}\). [2]
  2. A triangle of area 5 square units undergoes the transformation represented by the matrix \(\begin{pmatrix} 1 & 2 \\ 0 & 1 \end{pmatrix}\). Explaining your reasoning, find the area of the image of the triangle following this transformation. [2]