How do you multiply $[(4,-6),(2,-3)]^3$ ?

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Answer 1 · 2016-07-03T12:56:00

$= [(4,-6),(2,-3)]" "$ Interesting result!

$[(4,-6),(2,-3)]^3$ means the same as $x^3 " ie "x xx x xx x$

= $color(red)([(4,-6),(2,-3)] xx [(4,-6),(2,-3)]) xx [(4,-6),(2,-3)]$

First, multiply the first two matrices:

$color(red)([(4,-6),(2,-3)]) " surprising result!!"$

Now multiply by the third matrix

$[(4,-6),(2,-3)]xx[(4,-6),(2,-3)]$

$= [(4,-6),(2,-3)] " I would not have guessed this one!"$

How do you multiply [(4,-6),(2,-3)]^3[(4,-6),(2,-3)]^3?