ints) Let V be a vector space of dimension n and W a vector space of > W be a linear transformation such that the dimension 6. dimension m. Let L : V of the kernel of L is r. Show that there are ordered bases E = [ū1,…. , în] of V and F = W1,..., w,„] of W such that the matrix representation of L with respect to E and F is an m x n matrix A = (a;) satisfying %3D %3D %3D aij = 1 if i = j and i

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