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Let L:R3R3 be the linear operator defined by L(x)=6x126x2+6x313x218x1+18x3 (a)...

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Let L:R3R3 be the linear operator defined by L(x)=6x126x2+6x313x218x1+18x3 (a) Find the dimension of the range of L : (b) Find the dimension of the kernel of L : (c) Let S be the subspace of R3 spanned by 9e1 and 20c220e3. Find the dimension of L(S)

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