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Mathematics 19 Online
OpenStudy (chrisplusian):

Linear algebra question dealing with transpose

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

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

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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