Solving Linear System of Equations by Matrix Method
Not what you're looking for?
Use Row Reduction and Back Substitution to solve the given Linear System of Equations. Write the Augmented Matrix for each of them.
[Please refer to the attachment for the given linear system of equations].
Purchase this Solution
Solution Summary
This solution is comprised of detailed step-by-step calculations of the given problems. The solution provides students with a clear perspective of the underlying mathematical aspects.
Solution Preview
Augmented Matrix:
[├ ■(1&3@1&1)┤| ■(0@4)]
Row Reduction:
[├ ■(1&3@1&1)┤| ■(0@4)]→[├ ■(1&3@0&-2)┤| ■(0@4)] [R_2→R_2-R_1]
[├ ■(1&3@0&-2)┤| ■(0@4)] →[├ ■(1&3@0&1)┤| ■(0@-2)] [R_2→-〖1/2 R〗_2]
We have brought the Matrix to Row-Echelon form.
The corresponding system is given as
x_2=-2
x_1+3x_2=0
Or,x_1=(-3)×(-2)=6
Augmented Matrix:
[├ ■(1&3@3&1)┤| ■(2@6)]
Row Reduction:
[├ ■(1&3@3&1)┤| ■(2@6)]→[├ ■(1&3@0&-8)┤| ■(2@0)] [R_2→R_2-〖3R〗_1]
[├ ...
Education
- MSc, Osmania University
- MSc, Indian Institute of Technology - Roorkee (I.I.T.-ROORKEE)
- BSc, Banaras Hindu University
Recent Feedback
- "Very fast turnaround. Excellent communication! Much appreciated!"
- "excellent"
- "excellent"
- "excellent work"
- "Fantastic..great solution and very well explained!!!!"
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.