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If A=[(1 ,1 ),(0, 1)] , show that A^2=[(...

If `A=[(1 ,1 ),(0, 1)]` , show that `A^2=[(1, 2),( 0, 1)]` and `A^3=[(1 ,3),( 0, 1)]` .

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Given ,
`A=[(1 ,1 ),(0, 1)]`
`A^2=[(1 ,1 ),(0, 1)]xx[(1 ,1 ),(0, 1)]`
`=[(1 ,2 ),(0, 1)]`
again,
`A^3=A^2xxA`
`=[(1 ,2 ),(0, 1)][(1 ,1 ),(0, 1)]`
`=[(1 ,3 ),(0, 1)]`
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RD SHARMA-ALGEBRA OF MATRICES-Solved Examples And Exercises
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  19. If [(2,3),(5,7)][(1,-3),(-2,4)]=[(-4,6),(-9,x)] , find xdot

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