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!"#