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Math Help - matrix vectors

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    matrix vectors

    Please help!!
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  2. #2
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    Quote Originally Posted by 00hyvs45 View Post
    Please help!!
    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 A = \left[ \begin{array}{cc} 1 & 0  \\<br />
 0 & 1 <br />
 \end{array} \right]     and B = -A

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