5.10.1.6: Exercises- Columns and Null Spaces
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I encourage you to use
rref
and
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for the following.
We wish to show that \(N(A)=N(A^{T}A)\) regardless of \(A\).
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when applied to \(A\) and \(A^{T}A\) for the \(A\) matrix associated with the unstable ladder figure.
Suppose that \(A\) is m-by-n and that \(N(A) = \mathbb{R}^{n}\). Argue that \(A\) must be the zero matrix.