Solving Ax=b

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MIT 18.06SC Linear Algebra, Fall 2011
Instructor: Martina Balagovic

A teaching assistant works through a problem on solving Ax=b.

License: Creative Commons BY-NC-SA
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Martina Balagovic! You are an awesome TA.

AnupKumar-wked
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Thank you MIT, Thank you Martina! Amazing Example!

quirkyquester
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Love her at all! A very useful complementary lecture !

akistsili
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Great exercise to make us think about the last course! Thanks ocw

loucascubeddu
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The description should have the link to the whole playlist and that would be super helpful.

snakelord
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chalk is so tick and it is almost finished... that is how much we need to study too, thanks

doruktopcu
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Just to clarify: The "special solution" can also be seen as the Span when written in parametric vector form right? p (particular solution) + Span{v1, v2, ..., vp}

edian
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import sys; A = [1, 2, 3, ...]; x= sys.argv[1]; b = lambda b: b*x; list(map(b, A))

LoseTheFur
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Hello in the particular solution how can we get the value of b1 b2 and b3?

franciscojavier
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5:25 I do not understand how she got 5b1 - 2b2

can someone explain?

MrJKostyal
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How exactly does she get the x values for the special solution. It almost seems like it just appears.

stevenm
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In the particular solution why z= 0 and in special solution why z=1

tenzin
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What is the difference between

x_special from this video and lecture 7, and x_nullspace or x_n from lecture 8?

pepehimovic
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I just found out that one problem in my home work is exactly the same

pz_bowmaking
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8:20 I do not understand how she got 2 when -2*1=0

manu-mmpc
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While i can follow what she is saying well, I don`t like that she follows a different approach to what prof Strang does and also what the lecture summary says, it adds confusion. For the particular solution part, prof Strang found an actual solution that fits the system of equations, a vector of 1, 5 and 6. Here, Martina keeps the solution in variable form (b1, b2, b3). Also, prof Strang found the particular solution when the matrix was in the upper echelon form, whereas Martina went a step further and took the matrix to the rref form. It is a little confusing when the approaches are different.

acadoe
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This is not how you teach. This is just purposefully being abrasive and annoying.

jimj