MTH501 FinalTerm Paper

40 mcqs
2 no k 4 quiz the
1) Determine whether the set of vectors are orthogonal or not
2) Is following set of vertices is orthogonal with respect to the Euclidean inner product on ?
3) find the characteristics polynomial and all eigevalues of given matrix
4) Write a system of linear equations for given matrix
4 quiz of 3 numbers
1) Let W=span {x1,x2}, where , construct an orthogonal basis {v1,v2}for W.
2)
3) Find the characteristics polynomial and egenvalues of matrix A=
4) Sow that coefficient matrix of the following linear system is strictly diagonal dominant

5 quiz of 5 numbers

1) find an upper triangular matrix R such that A=QR
2) define T: by T(x)=A(x), find a basis B for with the property that is diagonalizable A=
3) let A be a 2*2 matrix with egenvalues 4 and 2, with corresponding eigenvectors
4) let x(t) be the position of a particle at time t, solve the initial value problem
5) let L be a linear transformation from to define by L , show that 'L' is inventible and also find it's inverse?