Why is the vector perpendicular to column space called left nullspace?

1.	Why is the vector perpendicular to column space called left nullspace? I mean why 'left' not others?
Answer» ANSWER: Nullspace is perpendicular to row space The row space of a matrix is orthogonal to the nullspace, because AX = 0 MEANS the dot PRODUCT of x with each row of A is 0. But then the product of x with any combination of rows of A must be 0.

Why is the vector perpendicular to column space called left nullspace? I mean why 'left' not others?

Answer»

Nullspace is perpendicular to row space

The row space of a matrix is orthogonal to the nullspace, because AX = 0 MEANS the dot PRODUCT of x with each row of A is 0. But then the product of x with any combination of rows of A must be 0.

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Why is the vector perpendicular to column space called left nullspace? I mean why 'left' not others?

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