Linear algebra: Finding the number of parameters of a system given dimensions and rank Suppose the system Ax = b is consistent and A is a 6 x 7 matrix and rank(A) = 2. How many parameters does the system have?
Since the rank is the number of non zero rows, there will be 4 zero rows (the number of rows is 6, the rank is 2, another 4 are zero rows). Each zero row represents 1 parameter. Therefore there will be 4 parameters. Consistent means either many solutions or unique solution.
Since the rank is the number of non zero rows, there will be 4 zero rows (the number of rows is 6, the rank is 2, another 4 are zero rows). Each zero row represents 1 parameter. Therefore there will be 4 parameters. Consistent means either many solutions or unique solution.