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# Given the following Matrix find A^3?

### 3 Answers

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- JOHNLv 72 months ago
A²: 1st row (25.....-4), 2nd row (0.....16)

A³: ist row (125....-84), 2nd row (0.....-64).

- AlanLv 72 months ago
Matrix multiplication

is ROW to Column

A^2 =

[ 5 -4 ::::::: [ 5 -4

0 -4 ] :::: X :: 0 -4 ]

=

[

(5*5 + 4*0) (5*-4)+ ( -4 * -4)

(0*5 + 4*0) + (0*-4 + -4*-4) ]

=

[ 25 -4

0 16 ]

so multiply this by A again

[ 25 -4 ::::::: [ 5 -4

0 16 ] X 0 -4]

=

[ (25*5 + -4*0) (25*-4 + -4*-4)

(0*5 +16*0 ) + 0*-4 + 16*-4 ]

A^3 =

[ 125 -86

0 -64 ]

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