## 22 Jun 50 questions on linear algebra for NET and GATE aspirants

Find the correct options: 1) $$M=\left(\begin{array}{ccc}1 & 2 & 2 \\0 & 2 & 2 \\0 & 1 & 1 \end{array}\right)$$ and $$V={ Mx^{T} : x\in R^{3}}.$$ Then $$dim V$$ is (a) 0 (b) 1 (c) 2 (d) 3 2) $$A^{2}-A=0,$$ where $$A$$ is a $$9\times 9$$ matrix....