Please help!!

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- Apr 16th 2008, 04:22 AM00hyvs45matrix vectors
Please help!!

- Apr 16th 2008, 05:26 AMIsomorphism
1) First multiply the matrix out and get the conditions a+2b-c = 0. Then try to prove both closure under addition and closure under multiplication.

2)Both fail.

i) $\displaystyle \displaystyle A = \left[ \begin{array}{cc} 1 & 0 \\

0 & 1

\end{array} \right] $ and $\displaystyle B = -A$

ii) $\displaystyle \forall A \in S$,$\displaystyle \lambda = 0 \Rightarrow \lambda A = 0 \notin S$