Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Engineering Mathematics Linear Algebra Matrix Algebra
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 = \(\left[\begin{array}{*{20}{c}} 1&1&0\\ 0&1&0\\ 0&0&1 \end{array}\right]\)
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 = \(\left[\begin{array}{*{20}{c}} 1&1&0\\ 1&1&0\\ 0&0&1 \end{array}\right]\)