Maths paper 5 Gunshot Questions -10M

-

 Maths paper 5 *Gunshot* *Questions -10M* 

***1. Let V(F) be a vector space. A non empty set WV. Prove that the necessary and sufficient condition for W to be a subspace of V is a, b€F and α,β€W⇒aα+bβ€ W.***

Or

Let V(F) be a vector space and Let W ⊆ V The necessary and sufficient conditions for W to be a subspacer of V are i α€W,β€W⇒α-β€W,

ii.α€W,α€F⇒aα€W?

Or

b) If W, and W, are two subspaces of a vector space V(F) then prove that W+W, is a subspace of Vand W+W=<W, W₂>

2. If W, and W, are two subspaces of a finite dimensional vector space V(F) then prove that dim (W1+W2)= dim W1+dim2 W-dim (W1∩W2)?

Or

*****If W is a subspaces of a finite dimensional vector space V(F) then prove that dim (V/W)= dim V-dim W?*****

3.Rank Nullity Theorem?

4.Cayley-Hamilton Theorem?

5.Bessels Inequality?

Or

6.Schwartz's Inequality?

Comments

Post a Comment

Trending

Real Analysis paper 4 10 M questions Answers

-
Image
1.State prove Cauchys general principle of Convergence? 1 2  2.Show that given problems are Convergence? [Model sums] 1 2 3 4 5 6 7 3.D Alemberts Ratio test  1 2 3.Cauchy nth root test  3 4 4.Rolles Theorem 1 2 5.Lagranges Mean value theorem  3 4 6.Cauchys Mean value theorem  5 6 7 7.Rieman integral model sums(monotonic, continuous) 1 2 3 4 8.Every function defined and continuous on a closed interval attain it's bounds?                                         1                                         2
Read more

Maths 7B _Snipper (Free fire 🔥)

-
Maths 7B - (8M,5M,2M) Snipper shot 🔫🔫🔫 Unit-1-Laplace Transforms _Sin,cos,e^x, First, second shifting and change of scale of property theorems   ( model sums on the theorems) Unit-III_Inverse Laplace Transforms _Sin,cos,e^x, First, second shifting and change of scale of property theorems  ( model sums on the theorems) Unit-II _Bessels sums -8M Differentiation model sums (Derivative, integration  of product)- 5M,2M Unit-IV _Abels problem -8M Convolution and differentials  sums -5M,2M Unit-V _Finite or infinite cos and sine Fourier transforms sums -8M Parsvel identity , Convolution, Modulation theorems -5M,2M
Read more

Physics 6B AK_47 Rifles

-
  Physics Ak- 47 Rifles  Paper -6B Unit-1_Production of Low Temperature 10M 1.Joule-Thomson effect or Adiabatic De-Magnetization 2.Linde's Air liquifer 3.Production of Liquid hydrogen  5M 1.Freezing Mixtures  2.Liquefaction of gases  3.Regenerative Cooling  4.Meissner effect  Unit-2_Measurement of Low Temperature  10M 1.Gas Thermometer  2.Vapour Pressure Thermometer  5M 1.Resistance Thermometers 2.Magnetic Thermometers 3.Thermo electric thermometers or thermo couples Unit-3_ Principles of Refrigeration  10M 1.Vapour Compression Refrigeration  2.Vapour absorption Refrigeration  5M 1.Types and methods of Refrigeration 2.Classification of refrigeration 3.Commonly used refrigerants  Unit-4_Components of Refrigeration  10M 1.Classification and Types of Compressors 2.Classification and Types of evaporators 5M 1.coefficient of Performance 2.Tons of refrigeration 3.Energy efficiency ratio Unit-5_Applicatons of Low Temp...
Read more