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Mathematics 22 Online
OpenStudy (campayne):

Determine if the given matrices are inverses. Answer yes or no.

OpenStudy (campayne):

OpenStudy (sooobored):

if you multiply them together and get an identity matrix

OpenStudy (campayne):

multiply them together?

OpenStudy (sooobored):

identity matrix "I" look something like this \[\left[\begin{matrix}1 & 0 \\ 0 & 1\end{matrix}\right]\]

OpenStudy (sooobored):

If \[AB=BA = I\] then matrix A is an inverse of matrix B so yes, multiply them together and see if you get the 1 0 0 1 thing

OpenStudy (campayne):

the identical ones? like so ill multiply 6 with one and 5 with 2.5?

OpenStudy (sooobored):

oh... now you're asking about how to multiply matrices

OpenStudy (campayne):

no i thought thats what you meant

OpenStudy (sooobored):

im refering to matrix multiplication, not dot product or whatever thats called

OpenStudy (sooobored):

\[A= \left[\begin{matrix}a & b \\ c & d\end{matrix}\right]\] \[B=\left[\begin{matrix}e & f \\ g & h\end{matrix}\right]\] AB=C \[C=\left[\begin{matrix}ae+bg & af+bh \\ ce+dg & cf+dh\end{matrix}\right]\]

OpenStudy (campayne):

so THATS what i do?

OpenStudy (mathmate):

yes, it's not as difficult as it seems.

OpenStudy (campayne):

i see

OpenStudy (campayne):

can someone check it

OpenStudy (campayne):

my problem i mean

OpenStudy (mathmate):

So what did you get? We cannot check if work is not posted...lol

OpenStudy (campayne):

true |dw:1477533537771:dw|

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