Posted by Anonymous on .
which product represents the solution to the system 3x+4y=2 and 2x+5y=6
[3 2]*[2
[4 5] [6]
1/7[3 2]*[2]
[4 5] [6]
[5 2]*[2]
[4 3] [6]
1/7[5 4]*[2]
[2 3] [6]
could someone explain

product matrix 
Reiny,
your given system can be written in the following matrix form
[ 54]*[x]=[2]
[2 3] [y] [6]
the inverse of the first matrix is
1/17 of
[ 54]
[2 3]
if you multiply the left side by that inverse you get the identity matrix
[1 0]
[0 1]
of course you would then also multiply the right side by that , so it looks like the last answer is the correct one 
product matrix (getting careless) 
Reiny,
oops!!
that first matrix of course should have been
[ 3 4]*[x]=[2]
[ 2 5] [y] [6]
I copied incorrectly from my paper