On the property of matrix rank If a is m × s matrix, B is s × n matrix, if AB = 0, then R (a) + R (b)

The matrix AB is a 0 matrix -- any column vector X of the matrix B is the solution of the equation AX = 0,
1. If a column is full rank, that is, R (a) = s, according to the property of the solution of the equation, the equation has only 0 solution, and all elements of X are 0, R (b) = 0, R (a) + R (b) = s
2. If a is not full rank, R (a) = a

On the property of matrix rank If a is m × s matrix, B is s × n matrix, if AB = 0, then R (a) + R (b)

On the property of matrix rank If a is m × s matrix, B is s × n matrix, if AB = 0, then R (a) + R (b)

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