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Homework Statement
Given matrix A (size m x n), prove N(A) is subset of N( A^t A).
A^t is matrix A transposed.
Homework Equations
The Attempt at a Solution
My assumption is m < n, using definition of nullspace, I ended up with N( A^t A) = a set of zero vector, while N(A) is not entirely included in N( A^t A).
Thank You.