📨رویداد آنالیز عددی
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Gilbert Strang's "The Big Picture of Linear Algebra" shows the relationship between four fundamental subspaces of an m by n matrix.

These four subspaces are:
- Column space: all combinations of columns of A
- Row space: all combinations of rows of A
- Nullspace of A: all solutions to Ax = 0
- Nullspace of A^T: all solutions to A^T y = 0

Dimensions:
- Dimension of row space = Dimension of column space = r (rank of matrix)
- Dimension of nullspace of A = n - r
- Dimension of nullspace of A^T = m - r

Orthogonality:
- Vectors in nullspace of A are orthogonal to vectors in row space.
- Vectors in nullspace of A^T are orthogonal to vectors in column space.

(Slide's source: ocw.mit.edu/courses/res-18… by Gilbert Strang, licensed CC BY-NC-SA 4.0)
https://youtu.be/rwLOfdfc4dw?si=qXmVAnA9xCiY8GVo
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