How to complete this matrix? I forgot :( Thanks!

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1 Answer
May 13, 2018

#{ (5x-3y=-3), (2x+y=5) :}#

Explanation:

Given:

#((5, -3), (2, 1))((x),(y)) = ((-3),(5))#

To multiply two matrices, start by multiplying the first row of the first matrix by the first column of the second, adding the individual components.

So in our example, we multiply #5# by #x# and #-3# by #y#, finding:

#5x-3y = -3#

For the second row of the result, we multiply the second row of the first matrix by the (first) column of the second, to find:

#2x+y = 5#