Question-123868

Question Number 123868 by benjo_mathlover last updated on 28/Nov/20

Answered by liberty last updated on 29/Nov/20

w e b e g i n f r o m A^{3} = A . A^{2} a n d A^{2} = 8 A - 13 I

g i v e s A^{3} = A (8 A - 13 I) = 8 A^{2} - 13 A

= 8 (8 A - 13 I) - 13 A

= 64 A - 104 I - 13 A = 51 A - 104 I

x A + y I = 51 A - 104 I

w e c o n c l u d e t h a t {\begin{cases} x = 51 \\ y = - 104 \end{cases}

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