A-and-B-are-two-non-singular-matrices-such-that-A-6-I-and-AB-2-BA-B-I-Then-value-of-K-for-which-B-K-I-

Tinku Tara June 4, 2023 Matrices and Determinants 0 Comments

Question Number 44737 by rahul 19 last updated on 04/Oct/18

A and B are two non−singular matrices such that A^6 =I and AB^2 =BA(B≠I). Then value of K for which B^K =I.

$${A}\:{and}\:{B}\:{are}\:{two}\:{non}−{singular}\:{matrices} \\ $$$${such}\:{that}\:{A}^{\mathrm{6}} ={I}\:{and}\:{AB}^{\mathrm{2}} ={BA}\left({B}\neq{I}\right). \\ $$$${Then}\:{value}\:{of}\:{K}\:{for}\:{which}\:{B}^{{K}} ={I}. \\ $$

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A-and-B-are-two-non-singular-matrices-such-that-A-6-I-and-AB-2-BA-B-I-Then-value-of-K-for-which-B-K-I-

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