MTH501 Final Term Current Papers

MY today Paper 

LU decomposition Eigen Value Eigen Vector Show whether vectors are orthogonal or not? Find image of vector Baki b orthogonal wale topics me se thy last 32 se le kr 44 tak chapters kr lo paper 80% o jay ga…!

Block matrix given find out whether it is invertible or not

Answer: If the inverse of a square matrix exists, it is called an invertible matrix. An invertible matrix is called a non-singular matri x.This can also be found if det A ≠0

A set of vectors given find out whether set is orthogonal or not

If u1.u2=0, u2.u3=0, u3.u1=0

3. A matrix was given find out whether the columns are orthonormal or not

Ut.U=I

Q4. Find out whether the vectors are linearly independant or not?

Y=c1u1+c2u2 · C1=y.u1/u1.u1 · C2=y.u2/u2.u2 · Solved by: · Well Wisher (Sahar) · Class · BSCS 6th Semester · Subject

MTH501

Solution

Type:

Final Term current Paper July 28, 2013

Institute: · Virtual University of Pakistan · C1=c2=0

5. Find the vector v where the matrix with some scalars was given w=span{v}

6. Find out matric is invrtible or not · Repeated · 7. Inner product by Eucldn method · u.v= ut.v · v.u=vt.u

8||v||,||u||,||v+u|| find out karny thy without using pythogorian theorem

||v||=

v v

||u||=

u u

||v+u||=||u||+||v||

9. Find Eigen values of given matrix

10. Let [0,2pie] has the inner product integrationf(t)g(t)dt show that cosnt sinmt are orthogonal

No MCQ's were from past papers. MCQ's were all related to vactors , orthogonal , saddle point . subjects are following. 1. Find distance beteen to vactors

Distance(u-v)=

u v u v

2. Find orthogonal with respect to ecuclidean Inner product eigen vactor of A
3. Determinent of A Matrix , det A was given as 6
4. Inner Sapce vactor , show that u , v are orthogonal vector