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
Solution
The Gauss elimination method primarily uses elementary row operations. These operations include:
- Swapping two rows.
- Multiplying a row by a non-zero scalar.
- 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.
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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