Writing solutions to Ax=b in vector form

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Learning Objectives:
1) Given a Linear System Ax=b, find its solution set
2) Write those solutions in vector form as a linear combination of a constant vector and vectors with parameters

This video is part of a Linear Algebra course taught at the University of Cincinnati.
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Thank so much! I don't know where my university gets some of my teachers that expect for a student to know this without explanations. Once again thank you

GraphicalBoss
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Dang, this really helped me out. University really think we know this beforehand without giving any explanation :D

hahhuli
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so in other terms, we're representing all the infinite solutions to the x3 and x4 variables, as a linear combination of these two vectors ? If so then what do these two vectors represent and how do they relate to the column vectors in the matrix A?

maazahmedpoke
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can you please point me to the video of getting to x2 =1-t and x1 = -2s. Also i wanted to know how to get to all of your vector and matrrices videos -is there a view list i could get to .

shalinigobinath
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How did he get from the step around 2:45? Why is it 0 0 1 0 in the matrix from bottom up (as he solves it)? I.E. how is he getting those values?

alehkcee
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why so many gawdamn ads? I get like 4 ads per 8 minutes of video

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