Question: (a) Explain what is meant by a basis for an N-dimensional vector space. [2] (b) The set [7] 3 X = 2 2 is

(a) Explain what is meant by a basis for an N-dimensional vector space. [2] (b) The set [7] 3 X = 2 2 is a linearly independent set of vectors in the 3-dimensional space R. Use the Gram-Schmidt process to convert X into a basis for R. Show your calculations.

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