MTH603 Final Term Past Papers by Junaid

Q1. The determinant of a diagonal matrix is the product of the diagonal elements.

•  True
•  False

Q2. Power method is applicable if the eigen vectors corresponding to eigen values are linearly independent.

•  True
•  false

Q3. A 3 x 3 identity matrix have three and different eigen values.

•  True
•  False

Q4.  True

•  False

Q5.  No

•  At least one

Q6. An eigenvector V is said to be normalized if the coordinate of largest magnitude is equal to ______.

•  Unity
•  zero

Q7. Total Marks: 1

The Gauss-Seidel method is applicable to strictly diagonally dominant or symmetric positive definite matrices A.

•  True
•  False

Q8. Total Marks: 1

The determinant of a _______ matrix is the product of the diagonal elements.

•  Diagonal CLOSELY
•  Upper triangular
•  Lower triangular
•  Scalar

yeh charon options theek hain…. You can confirm it from internet…

Q9.  Real

•  Zero
•  Positive
•  Negative

Q10. The Power method can be used only to find the eigen value of A that is largest in absolute value—we call this eigen value the dominant eigen value of A.

•  True
•  False

Q11. P-C method is derived by employing

1. Newton’s backward difference interpolation formula
2. Newton’s forward difference interpolation formula
3. Newton’s divided difference interpolation formula
4. None of the given choices

Q12. For differences methods we require the set of values.

•  True
•  False

Q13.  True

•  False

Q14. If x is an eigen value corresponding to eigen value of V of a matrix A. If a is any constant, then x – a is an eigen value corresponding to eigen vector V is an of the matrix A - a I.

•  True
•  False

Q15. Central difference method seems to be giving a better approximation, however it requires more computations.

•  True
•  False

Q16. Iterative algorithms can be more rapid than direct methods.

•  True
•  False