P3 (coordinates and basis) Let M = d f:a = 2f,b = 2g + h, c = 3g – i, d = g + i, e = 3h e h i. a) What is maximal possible dimension of the vector space M? What is the actual dimension? b) Determine a basis for M [2 7 c) Determine coordinates of vector A = |6 L2 3 21 1 with respect to that basis. 4] 9.

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