for probkems 7 supposc 4 isa 13x 9 matrixand the tref of a has 7 leading entrics definc t r9 r13

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For problems [-7]: Suppose 4 is a 13x9 matrix, and the Trace of A has 7 leading entries. Define T: R9 -> R13 by T(x) = Ax, and define S: R13 -> R9 by S(x) = Ax. Rank T = dim N(T) = rank S = dim N(S) = dim R(S) = dim R(T). Give the maximum number of linearly independent rows in A.