- #1

worryingchem

- 41

- 1

## Homework Statement

If matrix ## C = \left[ {\begin{array}{c} A \\ B \ \end{array} } \right]## then how is N(C), the nullspace of C, related to N(A) and N(B)?

## Homework Equations

Ax = 0; x = N(A)

## The Attempt at a Solution

First, I thought that the relation between A and B with C is ## C = A + B ## so then I thought that ## N(C) = N(A) + N(B) ##.

But when I checked the solution it said N(C) = N(A) ∩ N(B)

and the only explanation is that ## Cx = \left[ {\begin{array}{c} Ax \\ Bx \ \end{array} } \right] = 0. ##

Can someone explain the solution to me?