Let a be an M × n matrix, C be an invertible matrix of order n, the rank of matrix A is r, and the rank of matrix B = AC is R1, then () A. R > r1b. R < r1c. R = r1d. The relationship between R and R1 depends on C

Let a be an M × n matrix, C be an invertible matrix of order n, the rank of matrix A is r, and the rank of matrix B = AC is R1, then () A. R > r1b. R < r1c. R = r1d. The relationship between R and R1 depends on C

∵ C is an invertible matrix of order n ∵ C can be expressed as the product of several elementary matrices, that is, C = p1p2 PS, where PI (I = 1, 2 And: B = AC, B = ap1p2 PS, i.e. B is obtained after S-TIMES elementary column transformation of a, and the elementary transformation does not change the rank of the matrix, so C