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

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While using the Gauss-Seidel Method for finding the solution of the system of equation, the following system
2x+2y+z=3
x+3y+z=2
x+y+z=2
can be rewritten as

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Choleskey’s reduction method is also called
Bisection method

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The first row of the augmented matrix of the system of linear equations is:
2x+z=4
x-y+z=-3
-y+z=-5

The first row of the augmented matrix of the system of linear equations is:
2x+z=4
x-y+z=-3
-y+z=-5

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Gauss - Jordan Method is similar to ……….

Gauss–Seidel method
Iteration’s method
Relaxation Method
Gaussian elimination method

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Whileusingtherelaxationmethodforfindingthesolutionofthefollowingsystem8x1+3x2−2x3=5 4x1+7x2+2x3=9 3x1+5x2+9x3=2withtheinitialvector(0,0,0),theresidualswouldbe

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Jacobi’s Method is a/an………………

Iterative method
Direct method

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Two matrices with the _______ characteristic polynomial need not be similar.

same
different

Two similar matrices have the same characteristic polynomial. The converse however is not true in general: two matrices with the same characteristic polynomial need not be similar.

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While using the Gauss-Seidel Method for finding the solution of the system of equation, the following system
2x+y−3z=5
x+3y+2z=7
x+2y+z=3

can be rewritten as

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The dominant eigenvector of a matrix is an eigenvector corresponding to the eigenvalue of largest magnitude (for real numbers, smallest absolute value) of that matrix.

Eigenvectors of a matrix corresponding to distinct eigenvalues are linearly independent. ▫. If λ is an eigenvalue of multiplicity k of an n × n matrix A, then the number of … power method converges to the smallest eigenvalue in absolute value of A. … v2, …, vn, and that λ1 is a simple eigenvalue with the largest magnitude, i.e.,.

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While solving by Gauss-Seidel method, which of the following is the first Iterative solution for the system; x-2y =1, x+4y=4 ?

a) (1, 0.75)
b) (0.25,1)
c) (0,0)
d) (1,0.65)

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If a system of equations has a property that each of the equation possesses one large coefficient and the larger coefficients in the equations correspond to different unknowns in different equations, then which of the following iterative method id preferred to apply?

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The 2nd row of the augmented matrix of the system of linear equations is:
2x+z=4
x-y+z=-3
-y+z=-5

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For two matrices A and B, such that “A = Inverse of B”, then which of the following is true?

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The number of significant digits in the number 608.030060 is:

9

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Let [A] be a 3x3 real symmetric matrix with
|a12|
be numerically the largest off-diagonal element of A, then we can construct orthogonal matrix S1 by Jacobi’s method as

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While using Relaxation method, which of the following is the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?