Linear Algebra 4.3.2 The Spanning Set Theorem

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Kimberly Brehm

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Oh my god, Professor Brehm. You are singlehandedly saving my grades

lucascamarasa

Thank you so much Professor. Your explanations are so clear and easy to follow, and you make the most abstract of topics so incredibly clear and understandable. You are truly a lifesaver and grade saver.

shootingstar

At around 4:00, shouldn't vp be defined as a linear combination with different constants (instead of a1, a2, ...a(p-1)), so maybe use c1, ...c(p-1) ? By the way, your videos are great!!

georgeporter

very very helpful, going through all your videos before my final tomorrow

deltax

I love you soooo much prof. I am really grateful for this and all of your videos

Proactive_nuel

when we solve the last question, isn't v1 = 1/-2 v3
so isn't v1 also excluded ?

ZZZZ-ufew

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

jaredbeltran

how was it linearly independent when v3 is a product of 2 and v2

zaryabumar

At 11:26, you conclude that the basis is {v1, v2} but considering the very definition of a basis being linearly independent, if you take v1 and v2, they have only 2 pivots in an R3 space so doesn’t that make them linearly dependent thus not being a basis?

yolandaht

in 11:40, how could the set of vectors be linearly independent and have an equation 4v1 + v2 + 3v3 = 0 ?

ruatb

In the example at 7:00, V3 = 2v2 - v1 and so V3 is dependent but can’t the same expression be written as V1 = 2v2 - V3 thereby making V1 dependent too?

bethel

In which lecture do you explain the span 😅😅

waterfall-rn

Even in the last example how did we find basis when it wasn't even linearly independent, im so confused, you said linearly independent is a condition for to find Basis

zaryabumar

highkey rushed through the last explanation of the last practice problem, im frustrated.

lsjmartin

Why is a2 = 5a1 and a4 = -3a3 at 15:26?

kenyichin

Linear Algebra 4.3.2 The Spanning Set Theorem

Linear Algebra 4.3.2 The Spanning Set Theorem

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