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Mathematics 19 Online
OpenStudy (darkbluechocobo):

Help with Matrices question

OpenStudy (darkbluechocobo):

OpenStudy (anonymous):

fun ok so you take the first and add an identity matrix after and do a reduced echelon form so you get [A I ] togeather so like this 1 1.4 1 1 0 0 1.2 0 0.8 0 1 0 -1.6 0.2 -1 0 0 1

OpenStudy (darkbluechocobo):

You add that to the first Matrix?

OpenStudy (anonymous):

if you can multiply the two matricies together and get the identity matrix, then they are inverses of each other ^_^

OpenStudy (anonymous):

ya

OpenStudy (darkbluechocobo):

Lol Its the matrix master

OpenStudy (anonymous):

\[A^{-1} A = I\]

OpenStudy (jdoe0001):

\(\begin{matrix} &A&A^{-1}&\\ &\begin{bmatrix} a&b&c\\ d&e&f\\ g&h&i \end{bmatrix}\times &\begin{bmatrix} j&k&l\\ m&n&o\\ p&q&r \end{bmatrix}\implies &\begin{bmatrix} 1&0&0\\ 0&1&0\\ 0&0&1 \end{bmatrix} \end{matrix} \)

OpenStudy (jdoe0001):

your PRODUCT matrix will have to look EXACTLY like that, with zeros and ones going down diagonally

OpenStudy (anonymous):

@jdoe0001 probABLY a lot clearer that way than what I was trying to say, lol

OpenStudy (jdoe0001):

if they're inverse of each other

OpenStudy (darkbluechocobo):

So i am still confused what do you multiply together like the 1st matrix by the other

OpenStudy (jdoe0001):

http://www.youtube.com/watch?v=sYlOjyPyX3g

OpenStudy (jdoe0001):

yes, you multiply them... to get the so-called "identity matrix" the ones with the zeros and ones

OpenStudy (jdoe0001):

if you get the identity matrix, they're inverse of each other, if not, then not

OpenStudy (darkbluechocobo):

so for the first row i got 3 5 2

OpenStudy (darkbluechocobo):

second row I got -1.92 0 -.8

OpenStudy (anonymous):

so the top left corner of the procuct of the two matrixes will |dw:1383939581650:dw|

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