doubts

JEE Advanced Coaching › Algebra questions › doubts

1.If A and B are two distinct matries such that A³=B³
and A²B=B²A,find the det(A³+B³) and det(A²+B²).

2.Suppose A and B are two non-singular matrices such that Bâ‰ I,A⁶=I and AB²=BA.find the least value of k for B^k=I.

#Mathematics #Algebra

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kunl ·2011-02-02 09:18:06

adding one more:
3.If AB=A and BA=B then:
(a) A=I
(b) B=I

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kunl ·2011-02-02 11:26:41

4.Let A and B be two matrices different from I such that AB=BA and Aⁿ-Bⁿ=Aⁿ⁺¹-Bⁿ⁺¹=Aⁿ⁺²-Bⁿ⁺²,then:
(a)I-A is singular
(b)I-B is singular
(c)A+B=AB+I

more than options may be correct

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kunl ·2011-02-02 21:06:39

LOLLLLLLLLLLL

kisi ko nahi banta kya maths?[3][3][3][3]

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Vivek @ Born this Way ·2011-02-03 02:29:59

We first let the person posting the questions try first!! :)

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