Answer:
AB = [tex]\left[\begin{array}{ccc}0&-2\\4&-12\\\end{array}\right][/tex]
Step-by-step explanation:
To obtain the first row of AB
Sum the products of corresponding elements in row 1 of A with elements in column 1 and 2 of B
To obtain the second row of AB
Sum the corresponding elements in row 2 of A with elements in column 1 and 2 of B, that is
AB = [tex]\left[\begin{array}{ccc}0(-1)+2(0)&0(3)+2(-1)\\-4(-1)+0(0)&-4(3)+0(-1)\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}0+0&0-2\\4+0&-12+0\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}0&-2\\4&-12\\\end{array}\right][/tex]
