Linear Algebra 4.5.1 The Dimension of a Vector Space

An introduction to finding the dimension of a vector space

[wesleychan]

All the cool things in the first screen look scary but once you start to explain, it makes a lot of sense.

[lppejdn]

Thank you 💗🌟..شكراً لك انتي معلمة رائعه

[pianodan]

For the last example, you said [1 0 0] and [0 1 0] is another basic for H, but those two vectors span the xy-plane and the original two vectors span some diagonal plane. If they have different spans, how are they both a basis for H? Also, the original second vector has a number in the third entry, which is not in any of the two reduced vectors.

[jaredbeltran]

Videos have been very helpful!
Would you be able to do Section 4.4?

[nicholeb]

Is the fact that v3 and v4 are free variables have any effect on them being excluded from the span or is it more the linear dependence thing?

[cooking]

At 9:20 the basis B you wrote isn't a basis for H.