# Linear Algebra-MIT-Gilbert Strang-(L9-L11)

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# Lecture 9. Independence, Basis, and Dimension with Nullspace.

- A with m rows, n columns, m <<n. Means we have more unknown variables than data. There are
**non-zero solutions to Ax = 0**. Because we have more**free columns**. And free variables. **Independent**vector: c1 * x1 + c2 * x3 + …