Find A^n by induction (Matrices)

JEE Advanced 2015 Papers › Algebra questions › Find A^n by induction (Matrices)

Let A=\left( \begin{array}{cc} a & b \\ 0 & a \end{array} \right), by judging from A^2,\ A^3,\ \cdots to expect Aⁿ for every positive integer n, then prove that the expectation is true by induction.

Src: 1976 Hitotsubashi University entrance 2nd exam Problem 4

#Mathematics #Algebra

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eragon24 _Retired ·2009-10-20 04:23:03

so sorry for this blurred image..... latex here is not working on my comp.......so i had to do it on other latex software ...

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Lokesh Verma ·2009-10-20 09:21:18

Good work

I guess I will have to hurry up on fixing the latex thing as suggested by Anant sir as well..

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Find A^n by induction (Matrices)

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