Q72 — Engineering Mathematics

Engineering Mathematics

Q72. Marks: +2.0 UGC NET Paper 2: Computer Science 26th Nov 2021

What is the transformation matrix M that transforms a square in the xy-plane defined by (1, 1)^T, (-1, 1)^T, (-1, -1)^T and (1, -1)^T to a parallelogram whose corresponding vertices are (2, 1)^T, (0, 1)^T, (-2, -1)^T and (0, -1)^T?

1.M = \(\left[\begin{array}{*{20}{c}} 1&1&0\\ 0&1&0\\ 0&0&1 \end{array}\right]\) ✓ Correct

2.M = \(\left[\begin{array}{*{20}{c}} 1&0&0\\ 1&1&0\\ 0&0&1 \end{array}\right]\)

3.M = \(\left[\begin{array}{*{20}{c}} 1&1&1\\ 0&1&0\\ 0&0&1 \end{array}\right]\)

4.M = \(\left[\begin{array}{*{20}{c}} 1&1&0\\ 1&1&0\\ 0&0&1 \end{array}\right]\)

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