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OpenStudy (chrisplusian):
Linear algebra question dealing with transpose
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OpenStudy (chrisplusian):
I can't figure out how to input matrices here but \[b = \left[\begin{matrix}1 \\ 1 \\ -1 \end{matrix}\right]\]
OpenStudy (chrisplusian):
i figured it out..... find \[b^{T}b\]
OpenStudy (chrisplusian):
what I got was a three by three \[\left[\begin{matrix}1 & 1 & -1\\ 1 & 1 & -1\\ -1 & -1 & 1\end{matrix}\right]\]
OpenStudy (chrisplusian):
just wanted to check and see if this is correct
OpenStudy (dan815):
it should say b*b^T if u got that
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OpenStudy (dan815):
3 by 1 matrix * 1by 3 matrix = 3 by 3 matrix,
^--------^---- these inner dimensions have to be equal, that is a way to check if solution exists
OpenStudy (dan815):
rows by columns
OpenStudy (chrisplusian):
Sorry that is correct it should have said b*b^T
OpenStudy (chrisplusian):
would that be correct for b*b^T ?
OpenStudy (dan815):
yes its right
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OpenStudy (chrisplusian):
thank you
OpenStudy (dan815):
okay but btw
OpenStudy (dan815):
if u do b^t * b you will get 3
OpenStudy (chrisplusian):
Yeah I actually did that problem first, for some reason I was second guessing myself on this part though
OpenStudy (dan815):
ah okay
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