MTH603 Quiz 1 Solution 2022 by Heeru

Which of the following rearrangement make strictly diagonal dominant the system of linear equation; x- 3y+z=-2 -6x+4y+11z=1 5x-2y-2z=9?

5x-2y-2z=9 x-3y+z=-2 -6x+4y+11z=1 Gaussian…upper triangular form?

Which of the following system of linear equations has a strictly diagonally dominant coefficient matrix? 9x1+5x2-3x3=12 -x1+12x2+5x3=8 2x1-4x2+7x3=-15 Which of the following system of linear equations has a strictly diagonally dominant coefficient matrix? 6x1-3x2+3x3=1 -2x1+7x2+2x3=5 x1+x2-5x3=-13

Zero First row…linear equations is 2,0 1 und 4 under iterative methods, the initial approximate solution is assumed to be ______ known If the determinant of a matrix A is not equal to zero then the system of equation will have a unique solution While solving the system…upproximute solution? No need to reorder The 3rd row of the augmented matrix of the system of linear equation is: 2x+z=4 0,-1,1 and -5 When the condition of diagonal dominance becomes true in Jacobi’s Method. Then its means that the method is ……………. Convergent Which of the following is equivalent form of the system of equations in matrix form; AX=B ? X = B(Inverse of A) [ 2

9] using Gaussian elimination method -2 ½

Is diagonally dominant?

8x+y-z=5

The linear equation: 2x+0y-2=0 has -------- solution Unique The linear equation: x+y=1 has_____solution Nosolution Value of AA-1 will be [1

1] Necessary to be taken as [0 0 0] True If the point element happens to be a zero then the i-th column elements are searched for the

Largest Which using the relaxation method for finding the solution of the following system 11x1 + x2 –x3 =8

ith the initial vector (0, 0, 0), the residuals would be R1=8,R2=9,R3=7 While using Relaxation method, which of the following is the Residuals for 1st iteration on the system; 2x+3y = 1, 3x +2y =4 (1,4) While using the relaxation method for finding the solution if the belt given system which of the following increment will be introduce

The basic idea of relaxation method is to reduce the largest residual to …………. Zero In full pivoting we interchange rows and columns such that the ___ elements in the matrix of the variable also get changed Largest Back substitution procedure is used in …………….

of equation is diagonally dominant 11z + y – z = 4