Question

Consider the following two statements:

I. The maximum number of linearly independent column vectors of a matrix A is called the rank of A.

II. If A is an n x n square matrix, it will be nonsingular if rank A = n.

With reference to the above statements, which of the following applies?

• A. Both the statements are false
• B. Both the statements are true
• C. I is true but II is false
• D. I is false but II is true

Answer 1

The correct option is B Both the statements are true

By using standard definition of rank.