TRUE OR FALSE and explain why Suppose A is a 16 times 28 mat

TRUE OR FALSE and explain why.

Suppose A is a 16 times 28 matrix. What is the largest value for the rank of A? What is the smallest value of the nullity of A?

Solution

In a 16*28 matrix, no of rows =16

Hence max rank = max no of nonzero rows=16

Therefore largest rank of A is 16

Smallest value of nullity= colums- no of nonzero rows

=28-16=12