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When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
Which of the following systems of equations has no solution?
If they are quadratic equations then if their discriminant is less than zero then they have no solutions
Systems of equations have one solution?
Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.
Who discovered the systems of linear equation?
The concept of systems of linear equations dates back to ancient civilizations such as Babylonians and Egyptians. However, the systematic study and formalization of solving systems of linear equations is attributed to the ancient Greek mathematician Euclid, who introduced the method of substitution and elimination in his work "Elements." Later mathematicians such as Gauss and Cramer made significant contributions to the theory and methods of solving systems of linear equations.
What is the purpose and functionality of the MATLAB backslash command in solving linear systems of equations?
The MATLAB backslash command () is used to efficiently solve linear systems of equations by performing matrix division. It calculates the solution to the system of equations by finding the least squares solution or the exact solution depending on the properties of the matrix. This command is particularly useful for solving large systems of linear equations in a fast and accurate manner.
When solving systems of linear equation's when would you get no solution as an answer?
You get no solution if the lines representing the graphs of both equations have the same slope, i.e. they're parallel. "No solution" is NOT an answer.
Why are systems of equations important?
Systems of equations are important because they allow us to model and solve real-world problems that involve multiple unknowns. By setting up and solving systems of equations, we can find the values of the variables that satisfy all the equations simultaneously, providing a precise solution to the problem at hand. These systems are widely used in various fields such as physics, engineering, economics, and more, making them a fundamental tool in problem-solving and decision-making.
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
What is the purpose of the MATLAB backward slash () operator in numerical computations?
The MATLAB backward slash () operator is used for solving systems of linear equations in numerical computations. It helps find the solution to a system of equations by performing matrix division.
Which of the following systems of equations has no solution?
If they are quadratic equations then if their discriminant is less than zero then they have no solutions
What is a systems of equations that has the same solution set as another system?
They are called equivalent systems.
Why is it important to know various techniques for solving systems of equations and inequalities?
It is important to know several techniques for solving equations and inequalities because one may work better than another in a particular situation.
Systems of equations have one solution?
Systems of equations can have just about any number of solutions: zero, one, two, etc., or even infinitely many solutions.
When equations of linear systems have different slopes how many solutions does it have?
One solution
What does the backslash operator do in MATLAB and how is it used in matrix operations?
In MATLAB, the backslash operator () is used for solving systems of linear equations. It performs matrix left division, which is equivalent to solving the equation Ax B for x, where A is the coefficient matrix and B is the right-hand side matrix. The backslash operator is commonly used to find the solution to a system of linear equations in MATLAB.
Must solutions to systems of linear equalities satisfy both equalities?
Any solution to a system of linear equations must satisfy all te equations in that system. Otherwise it is a solution to AN equation but not to the system of equations.
