... straightforward,¹

Yeah, bad pun. I'll try to limit them in the future but I often can't help myself.

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... apparent.²

This is worthy of a footnote. Matrix manipulation is incredibly boring, and thus makes it eminently suitable for the computer. You would likely never need to manipulate a matrix directly; however, you should at least understand what happens behind-the-scenes for a $2x2$ matrix.

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