If $A = (cos θ sin θ - sin θ cos θ)$ , what is matrix $A^{n}$ for any positive integer $n$ ?

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If $f (x) = \frac{2 x + 1}{x - 3}$ for $x \neq = 3$ , determine the inverse function $f^{- 1} (x)$ .
Given matrices $A = (3512)$ and $B = (2 - 5 - 1 3)$ , find the product…
The sum of an infinite geometric series with first term $a = 12$ is $S = 16$ . Find the common ratio $r$ of the series.
If $f (x) = 3 x - 2$ and $(g \circ f) (x) = 9 x^{2} - 12 x + 7$ , determine the function $g (x)$ .
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