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Posthumecaver · Answer 1 · 2022-06-22T06:42:54+0000

Answer:

see explanation

Explanation:

4G - 6H

= 4
$\left[\begin{array}{ccc}1&-7\\7&6\\\end{array}\right]$ - 6
$\left[\begin{array}{ccc}1&1\\-3&7\\\end{array}\right]$ ← multiply each component by the scalar

=
$\left[\begin{array}{ccc}4&-28\\28&24\\\end{array}\right]$ -
$\left[\begin{array}{ccc}6&6\\-18&42\\\end{array}\right]$ ← subtract corresponding components

=
$\left[\begin{array}{ccc}4-6&-28-6\\28-(-18)&24-42\\\end{array}\right]$

=
$\left[\begin{array}{ccc}-2&-34\\46&-18\\\end{array}\right]$

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