Question

If A is a 5 by 7 matrix, what is the maximum rank that A can have?

Answer 1

Answer:

5

Step-by-step explanation:

Remember, the rank of a matrix is the number of pivots or number of rows different of zero in the echelon form of the matrix.

Then, if A is a matrix $5\times 7$ the maximum number of pivots that can have is one by row, that is, 5.

Then the maximum rank that A can have is 5.