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fractalizard
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- Homework Statement
- Given A is a mxn matrix with rank 1, the nullspace is a _____ in R^n.
- Relevant Equations
- N(A) = Linear combination of "special solutions" to A
The published solutions indicate that the nullspace is a plane in R^n. Why isn't the nullspace an n-1 dimensional space within R^n? For example, if I understand things correctly, the 1x2 matrix [1 2] would have a nullspace represented by any linear combination of the vector (-2,1), which would be a line.