mth603 final term solved papers by moaaz

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).

Flase
Similar matrices have the same eigenvalues with the same multiplicities.

zaasmi

The method is a method of solving a matrix equation on a matrix that has zeros along its main diagonal.

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

The method is a method of solving a matrix equation on a matrix that has zeros along its main diagonal.

At least one
This method involves solving equations on a matrix with zeros along the main diagonal.

zaasmi

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

unity
Explanation
A normalized eigenvector has a magnitude of 1, making it a unit vector.

zaasmi

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

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

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

True
Explanation:
This method is suitable for matrices that are strictly diagonally dominant or symmetric positive definite.

zaasmi

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

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

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

Diagonal
Upper triangular
Lower triangular
Scalar

The determinant of a matrix is calculated by multiplying the diagonal elements.

zaasmi

Eigenvalues of a symmetric matrix are all Real Zero Positive Negative.

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

Eigenvalues of a symmetric matrix are all Real Zero Positive Negative.

Real
Symmetric matrices have real eigenvalues.

zaasmi

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

zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

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

True
The Power method is specifically used to find the dominant eigenvalue of a matrix.

zaasmi

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zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

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zaasmi

@zaasmi said in mth603 final term solved papers by moaaz:

@zaasmi said in mth603 final term solved papers by moaaz:

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dy/dx - = 1 - y,y(0) = 0 is an example of

In Double integration, the interval [a, b] should be divided into [c, d) should be divided into --sub intervals of size k. --subintervals of size h and the interval

The (n + 1) th difference of a polynomial of degree n is...

Let P be any real number and h be the step size of any interval. Then the relation between h and P for the backward difference is given by

In integrating $\int_{0}^{\frac{2}{2}} \cos x d x$ by dividing the interval into four equal parts, width of the interval should be

In fourth order Runge-Kutta method K 4

In fourth order Runge-Kutta method k2

What is the Process of finding the values outside the interval (Xo,x,) called?

When we apply Simpson's 3/8 rule, the number of intervals n must be

Milne's P-C method is a multi step method where we assume that the solution to the given initial value problem is known at past --equally spaced points.

The truncation error in Adam's predictor formula is ....-times more than that in corrector formula

To apply Simpson's 3/8 rule, the number of intervals be

Which formula is useful in finding the interpolating polynomial?

Rate of change of any quantity with respect to another can be modeled by

Romberg's integration method is ------ than Trapezoidal and Simpson's rule.

In integrating f, e2* dx by dividing into eight equal parts, width of the interval should be......

To apply Simpson's 1/3 rule, valid number of intervals are?

Newton's divided difference interpolation formula is used when the values of the independent variable are

If there are (n+1) values of y corresponding to (n+1) values of x, then we can represent the function f(x) by a polynomial of degree

MTH603 Assignment 1 Solution and Discussion

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