Vector Spaces, Subspaces

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Presentation transcript:

Vector Spaces, Subspaces

Vector Spaces

Examples

Examples

Theorem

Subspace

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

What do subspaces of Rn look like?

Example

Linear Combination

Linear Combination

Linear Combination

Linear Combination

Span

Span

Span

Span

Span

Theorem

Spanning Set

Examples

Examples