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RE: MTH603 Quiz 1 Solution and Discussion
A system is inconsistent if it has no solution. In a system of two equations in two variables, the equations are dependent if one equation is a multiple of the other. Dependent systems have an infinite number of solutions – every point is a solution.

RE: MTH603 Quiz 1 Solution and Discussion
The primary use of iterative methods is for computing the solution to large, sparse systems and for finding a few eigenvalues of a large sparse matrix. Along with other problems, such systems occur in the numerical solution of partial differential equations.

RE: MTH603 Quiz 1 Solution and Discussion
the linear equation 2x0y2=0 has

RE: MTH603 Quiz 1 Solution and Discussion
Solution to the linear equation 2x + 0y = 0

RE: MTH603 Quiz 1 Solution and Discussion
while using relaxation method, which of th folowing is the

RE: MTH603 Quiz 1 Solution and Discussion
In numerical linear algebra, the Jacobi method (a.k.a. the Jacobi iteration method) is an iterative algorithm for determining the solutions of a strictly diagonally dominant system of linear equations. Each diagonal element is solved for, and an approximate value is plugged in.

RE: MTH603 Quiz 1 Solution and Discussion
Simplifying
0x + 0y = 2Anything times zero is zero.
0x + 0y = 2Anything times zero is zero.
0 + 0y = 2Combine like terms: 0 + 0 = 0
0 = 2Solving
0 = 2Couldn’t find a variable to solve for.
This equation is invalid, the left and right sides are not equal, therefore there is no solution.

RE: MTH603 Quiz 1 Solution and Discussion
A square matrix is said to be diagonally dominant if the magnitude of the diagonal element in a row is greater than or equal to the sum of the magnitudes of all the other nondiagonal elements in that row for each row of the matrix.

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