Question: (a) If A is a matrix with three rows and five columns, then what is the maximum possible number of leading 1s in its reduced

(a) If A is a matrix with three rows and five columns, then what is the maximum possible number of leading 1’s in its reduced row echelon form?

(b) If B is a matrix with three rows and six columns, then what is the maximum possible number of parameters in the general solution of the linear system with augmented matrix B?

(c) If C is a matrix with five rows and three columns, then what is the minimum possible number of rows of zeros in any row echelon form of C?

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