Question

the rank of a matrix equals its number of nonzero rows.
T/F justify your answer

Answer 1

Answer on Question #40912, Math, Linear Algebra

The rank of a matrix equals its number of nonzero rows. T/F justify your answer

Answer

False. The rank of a matrix is defined as the number of nonzero rows in its reduced row-echelon form.

Rank of a matrix $\leq$ Total number nonzero of rows in the matrix.