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## In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to

In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to Home

In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to

Question

In the Gauss elimination method for solving a system of linear algebraic equations, triangularization leads to

A Diagonal matrix B

Lower triangular matrix

C

Upper triangular matrix

D Singular matrix Open in App Solution

The correct option is C Upper triangular matrix

Ingauss eliminatipn method for solving system of linear algebraic equation, the equation are reduce to an equivalent upper-triagular matrix.

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Q.

Solve the following pair of linear equations by the elimination method and the substitution method:

Q. There are three algebraic methods for solving a pair of linear equation in two variables.

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## [Solved] In the solution of simultaneous equations by the Gauss elimi

Explanation: Gauss elimination method: It is a method to solve the linear system of the form Ax = b, by bringing an augmented matrix into the upper triangle Home Engineering Mathematics Linear Algebra Matrix Algebra Operations on Matrix

## In the solution of simultaneous equations by the Gauss elimination method for solving equations, triangularization leads to

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singular matrix

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Option 2 : upper triangular matrix

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## Detailed Solution

Explanation:Gauss elimination method:

It is a method to solve the linear system of the form Ax = b, by bringing an augmented matrix into the upper triangle matrix.

For example: Solve, y + Z = 2, 2X + 3Z = 5, X + Y + Z = 3

The augmented matrix of the given equations is

=  = 

Interchanging R1 and R2

=  R1 -----> R1/2 = [103252011201−1212] R3 -------> -R1 +R3 =

[103252011200−32−32]

R3 -------> -R2 + R3

=  R3 --------> -2R2/3

This is the upper triangular matrix after various operations.

So, By comparing we get

Z = 1, y +Z = 2, X+32Z=52

So, The values are x = 1, y = 1, z = 1

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## Multiple Choice Questions (MCQ) and answers on Numerical Methods

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Multiple Choice Questions (MCQ) and answers on Numerical MethodsIn which of the following method, we approximate the curve of solution by the tangent in each interval.

Picard’s method Euler’s method Newton’s method Runge Kutta method (Ans:b)

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In the Gauss elimination method for solving a system of linear algebraic equations, triangularzation leads to

Diagonal matrix

Lower triangular matrix

Upper triangular matrix

Singular matrix (Ans:c)

Match the following:

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Mohammed 5 month ago

Guys, does anyone know the answer?