Poonam Kumar Sharma

5 Questions 11 Answers 0 Followers

Questions related from Poonam Kumar Sharma

What is wrong in the following proof of Cayley Hamilton Theorem ?

Proof: Let p(x) = det(xI - A) be the char. poly. of the square matrix A. Put x= A, p(A) = det(AI-A) = 0

06 June 2018 7,672 0 View

What is the probability that all the zeros of a real polynomial of degree n are real ?

When n =1, then probability = 1 (one zero has to be real ) When n=2, then probability = 1/2 ( two zeros are either both real or both imaginary ) When n= 3, then probability = 1/2 ( either all...

06 June 2016 6,320 5 View

Is there a result in mathematics which is true in Q and C but not in R ? Give concrete example ?

As we know Q IS CONTAINED IN R AND R IS CONTAINED IN C (AS A FIELD) THERE ARE SOME RESULTS WHICH HOLD IN R BUT NOT IN C ( For example: Order property hold in R but not in C). ALSO THERE ARE...

10 October 2015 4,099 3 View

Can two sides of a Pythagorean triangle be even?

3, 4 , 5 ; 5, 12, 13 ; 9, 12, 15 etc.

11 November 2013 2,964 2 View

Why is the length of a rectangle longer than the breadth or width?

Is length the longer side and breadth or width the shorter side?

11 November 2013 6,856 7 View