Answer:
[tex]AB=\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right][/tex]
Step-by-step explanation:
To multiply matrices, we need to take the dot product of each row and column.
First, the dot product of (1,5) and (2,6) is what goes in the top-leftmost section of the resulting matrix. So the dot product would be (1*2)+(5*6)=2+30=32.
Second, the dot product of (1,5) and (6,-1) is what goes in the top-rightmost section of the resulting matrix. So the dot product would be (1*6)+(5*-1)=6-5=1.
Third, the dot product of (-3,4) and (2,6) is what goes in the bottom-leftmost section of the resulting matrix. So the dot product would be (-3*2)+(4*6)=-6+24=18.
Fourth, the dot product of (-3,4) and (6,-1) is what goes in the bottom-rightmost section of the resulting matrix. So the dot product would be (-3*6)+(4*-1)=-18-4=-22.
Therefore, the resulting matrix is [tex]\left[\begin{array}{cc}32&1&18&-22\\\end{array}\right][/tex]
