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Unformatted text preview: r is any scalar and is the zero vector. (Due in the tutorial Monday 16 January) 4. Let A = 1 0 1 2 1 1 4 3 1 . (a) Find cartesian equations of Null ( A ) and Col ( A ). (b) Are the columns of A linearly independent? Explain your answer using the denition of linear independence. (Due in the tutorial Wednesday 18 January) 5. Let X = { f, g, h } where f ( x ) = 1 + 4 x , g ( x ) = 2 + 9 x and h ( x ) = 3 + 5 x . (a) Without row reducing explain why X is linearly dependent. (b) Express h as a linear combination of f and g . (c) Find a subset of X which is a basis of P 1 . (Due in the tutorial Monday 23 January)...
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 Three '09
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 Math

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