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Given the matrices: J=[26   18]           K=[43   21]    [ 34   19]    ...

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schooledmom | (Level 1) Salutatorian

Posted August 22, 2013 at 1:50 PM via web

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Given the matrices:

J=[26   18]           K=[43   21]

   [ 34   19]               [26   20]

    [61  23]                [33   92]

What is J + K?

What is 4J-2K?

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llltkl | College Teacher | (Level 3) Valedictorian

Posted August 22, 2013 at 2:19 PM (Answer #1)

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`J=[[26,18],[34,19],[61,23]]` `K=[[43,21],[26,20],[33,92]]`

`J+K` =`[[26+43,18+21],[34+26,19+20],[61+33,23+92]]`

=`[[69,39],[60,39],[94,115]]`

`4J-2K` =`4*[[26,18],[34,19],[61,23]]` ` -` `2*[[43,21],[26,20],[33,92]]`

`=` `[[104,72],[136,76],[244,92]]` ` -` ` [[86,42],[52,40],[66,184]]`

`=[[18,30],[84,36],[178,-92]]`

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