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Mathematics 8 Online
OpenStudy (anonymous):

find the matrix |7 -7 -2| |9 4 8| |7 2 -7| |9 -3 1| |7 -7 3 | |-5 3 7|

OpenStudy (yuki):

you already have the matrices

OpenStudy (yuki):

are you adding them or something ?

OpenStudy (anonymous):

the question find the matrix product , if possible ? can u explain for me a lit bit

OpenStudy (yuki):

that's a really tough one, so it might take a while for me to use the equation button, so hold on a sec, ok ?

OpenStudy (anonymous):

sure

OpenStudy (anonymous):

Make the 3 matrices and add them all together. http://en.wikipedia.org/wiki/Matrix_multiplication#Alternative_descriptions

OpenStudy (yuki):

when you multiply a a*b matrix to a b*c matrix, you will always get a a*c matrix

OpenStudy (yuki):

in your case you are doing 3*3 and 3*3 so you will have a 3*3 matrix as an answer

OpenStudy (yuki):

now to determine the entrees, this is the step that you have to do

OpenStudy (yuki):

the

OpenStudy (yuki):

\[a_11\]

OpenStudy (yuki):

\[a_{11}\]

OpenStudy (mathmagician):

When multiply, you get 10 43 35 116 1 9 -15 58 70, if that was the question

OpenStudy (yuki):

term can be figured out by multiplying the 1st row from the first matrix and the 1st column of the second matrix

OpenStudy (yuki):

so you 7*9 + -7*9 + -2*-5 =10

OpenStudy (amistre64):

[abc] * [d] [e] = a.d + b.e + c.f [f]

OpenStudy (yuki):

\[a_{12}\]

OpenStudy (yuki):

will be calculated by 7*4 + -7*-3 + -2*3

OpenStudy (yuki):

and so forth

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