Last updated April 10, 2022

Status: Tags: #cards/math232/unit3 Links: Four fundamental subspaces

Column space

Principles

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We can find a basis for a column space by ?

• Finding dimension, number of vectors in basis
• Leading 1’s

Finding out if a vector is in given column space ?

• Check if it has same dimensions
• Is it equal to some linear combination?
  • Row reduce, find c’s

Examples

• Multiplying matrix by vector gives linear combination of columns

Backlinks

1

list from Column space AND !outgoing(Column space)

References:

Created:: 2022-02-01 15:51