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attashe74 [19]
3 years ago
12

PLZZZ HELP Find the inverse of a 2x2 matrix Plz give answer .

Mathematics
1 answer:
liraira [26]3 years ago
4 0

Answer:

\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right]

Step-by-step explanation:

If a 2x2 matrix is given as:

\left[\begin{array}{cc}a&b\\c&d\\\end{array}\right]

The inverse is:

\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]

Our matrix given is:

\left[\begin{array}{cc}-4&2\\-6&6\\\end{array}\right]

<em />

<em>Using the formula, let's find the inverse:</em>

<em>\frac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right]\\=\frac{1}{(-4)(6)-(-6)(2)}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\frac{1}{-12}\left[\begin{array}{cc}6&-2\\6&-4\\\end{array}\right]\\=\left[\begin{array}{cc}-\frac{1}{2}&\frac{1}{6}\\-\frac{1}{2}&\frac{1}{3}\\\end{array}\right]</em>

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