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Which of the following statements is true about Gauss elimination method?
- a)It is used to find the determinant of a matrix
- b)It is used to solve a system of linear equations
- c)It is used to find the inverse of a matrix
- d)It is used to compute the rank of a matrix
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Which of the following statements is true about Gauss elimination meth...
The Gauss elimination method is commonly used to solve systems of linear equations.
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Which of the following statements is true about Gauss elimination meth...
Explanation of the Gauss Elimination Method:
Introduction:
- The Gauss elimination method is a technique used to solve a system of linear equations.
How it works:
- The method involves performing a sequence of elementary row operations on the augmented matrix representing the system of equations.
- These operations include adding multiples of one row to another, interchanging rows, and multiplying a row by a non-zero scalar.
Goal:
- The ultimate goal of Gauss elimination is to transform the augmented matrix into row-echelon form or reduced row-echelon form.
- This process simplifies the system of equations and makes it easier to solve.
Solving a system of linear equations:
- Once the augmented matrix is in row-echelon form, the values of the variables can be easily determined by back-substitution.
- This allows us to find the solution to the system of equations.
Applications:
- Gauss elimination is widely used in various fields such as engineering, physics, and economics to solve complex systems of linear equations efficiently.
- It is a fundamental method in numerical analysis and computational mathematics.
Therefore, the statement "It is used to solve a system of linear equations" is true about the Gauss elimination method.
Introduction:
- The Gauss elimination method is a technique used to solve a system of linear equations.
How it works:
- The method involves performing a sequence of elementary row operations on the augmented matrix representing the system of equations.
- These operations include adding multiples of one row to another, interchanging rows, and multiplying a row by a non-zero scalar.
Goal:
- The ultimate goal of Gauss elimination is to transform the augmented matrix into row-echelon form or reduced row-echelon form.
- This process simplifies the system of equations and makes it easier to solve.
Solving a system of linear equations:
- Once the augmented matrix is in row-echelon form, the values of the variables can be easily determined by back-substitution.
- This allows us to find the solution to the system of equations.
Applications:
- Gauss elimination is widely used in various fields such as engineering, physics, and economics to solve complex systems of linear equations efficiently.
- It is a fundamental method in numerical analysis and computational mathematics.
Therefore, the statement "It is used to solve a system of linear equations" is true about the Gauss elimination method.
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Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer?
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Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer?.
Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? for Software Development 2025 is part of Software Development preparation. The Question and answers have been prepared according to the Software Development exam syllabus. Information about Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Software Development 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer?.
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Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Which of the following statements is true about Gauss elimination method?a)It is used to find the determinant of a matrixb)It is used to solve a system of linear equationsc)It is used to find the inverse of a matrixd)It is used to compute the rank of a matrixCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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