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# MTH603 Quiz no #2 May 19, 2016 12:00 AM May 21, 2016 11:59 PM

MTH603 Quiz no #2   May 19, 2016 12:00 AM    May 21, 2016 11:59 PM

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### Replies to This Discussion

thanks Anmol

welcome

thanks guys

Thanks all of you.

MTH603_Mine today Quizz,
Sat 11:53am, 21 May 2016

1_How many Eigen values will exist corresponding to the function; Exp(ax) = e^ax, when the matrix operator is of differentiation?
Infinite many

2_Relaxation Method is a/an ……….
Iterative method

3_Let A be an n ×n matrix. The number x is an eigenvalue of A if there exists a non-zero vector v such that  _______.
Av = Ax

4_For the system of equations; x =2, y=3. The inverse of the matrix associated with its coefficients is-----------.
singular not sure

5_While using Relaxation method, which of the following is increment ‘dxi’corresponding to the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?
6_If n x n matrices A and B are similar, then they have the _____ eigenvalues (with the same multiplicities).
same

7_Power method is applicable if the eigen values are real and distinct.
TRUE

8_Two matrices with the _______ characteristic polynomial need not be similar.
same

9_If n x n matrices A and B are similar, then they have the different eigenvalues (with the same multiplicities).
FALSE

10_In Jacobi’s method after finding D1, the sum of the diagonal elements of D1 should be ………… to the sum of the diagonal elements of the original matrix A.
Same pg106

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