Question 150294
In brackets, I'm assuming mean matrix notation. 
A 2x2 matrix multiplied by a 2x3 matrix will produce a 2x3 matrix. 
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{{{(matrix(2,2,2,1,-3,5))(matrix(2,3,3,1,-1,2,4,-2))=(matrix(2,3,a,b,c,d,e,f))}}}
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The rows of the first matrix are multiplied by the columns of the second matrix in this manner,
{{{a=2*3+1*2=8}}}
{{{b=2*1+1*4=6}}}
{{{c=2*(-1)+1*(-2)=-4}}}
{{{d=(-3)*3+5*2=1}}}
{{{e=(-3)*1+5*4=17}}}
{{{f=(-3)*(-1)+5*(-2)=-7}}}
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{{{(matrix(2,2,2,1,-3,5))(matrix(2,3,3,1,-1,2,4,-2))=(matrix(2,3,8,6,-4,1,17,-7))}}}