Answer:
see explanation
Step-by-step explanation:
4G - 6H
= 4[tex]\left[\begin{array}{ccc}1&-7\\7&6\\\end{array}\right][/tex] - 6[tex]\left[\begin{array}{ccc}1&1\\-3&7\\\end{array}\right][/tex] ← multiply each component by the scalar
= [tex]\left[\begin{array}{ccc}4&-28\\28&24\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}6&6\\-18&42\\\end{array}\right][/tex] ← subtract corresponding components
= [tex]\left[\begin{array}{ccc}4-6&-28-6\\28-(-18)&24-42\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}-2&-34\\46&-18\\\end{array}\right][/tex]
