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Which operation can be used in Gauss elimination method?a)Elementary row operationsb)Multiplicationc)Additiond)Elementary column operation

Question

Which operation can be used in Gauss elimination method?a)Elementary row operationsb)Multiplicationc)Additiond)Elementary column operation

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Solution

The Gauss elimination method primarily uses elementary row operations. These operations include:

  1. Swapping two rows.
  2. Multiplying a row by a non-zero scalar.
  3. Adding a multiple of one row to another row.

So, the correct answer is a) Elementary row operations. Although multiplication and addition are part of these operations, they are not the primary method used. Elementary column operations are not typically used in Gauss elimination method.

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Similar Questions

GAUSSIAN ELIMINATION

In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads toa)Lower triangular matrixb)Diagonal matrixc)Upper triangular matrixd)Singular matrix

Which matrix operation is used to solve a system of linear equations? a. Addition b. Subtraction c. Multiplication d. Inversion

pply elementary operations of linear system, solve the following system of linear equations.State your steps clearly. (hint: please use Gaussian elimination when conducting row opera-tions)(a)2x1 + 3x2 = 24x1 − 5x2 = 15(b)x1 + x2 − x3 = 62x1 + 4x2 + 5x3 = 113x1 + 4x2 + 10x3 = 8

Do we solve it using determinants or gaussian elimination?

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