Math Challenges

Submissions for Problem #77

Problem #77

Suppose a 5x6 matrix A has four pivot columns.
What is dim Nul A?
Is Col A = R^4?

zapwai

Solution: \( \)

Explanation:
Four pivot columns means the dimension of the column space of A is 4, leaving the dimension of the null space of A at 2. The column space is not equal to R^4, it is a subset of R^5 (of dimension 4)