If a matrix A= vector space W. (a) (b) (c) (d) (e) (1 2 3 00 3 -7 9 -2 -3 3 3 4 9 137 10 1 1 9 and the column vectors of A span a Please find a basis and dimension of W. Let L: FS → F¹ defined by L(x) = Ax. Find a basis and the dimension of N(LA). Following (b), find a basis and the dimension of R(LA). What is the relation between W and R(LA)? Verify the dimension theorem from (b) and (c).

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