doubts

AIEEE Papers › 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

UP 0 DOWN 0 0 4
Post on FacebookPost anonymously?

4 Answers

kunl ·2011-02-02 09:18:06

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

kunl ·2011-02-02 21:06:39

LOLLLLLLLLLLL

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

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

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

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

doubts

4 Answers

Your Answer

Add Image

Similar Questions