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Let
- y be the column vector the dependent variable,
- M be the matrix of coefficients, and
- x be the column vector of variables
Then the solution set is obtained by left-multiplying both sides by M^-1
that is x = M^-1*y
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A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What are two symbolic techniques used to solve a system of linear equations in two variables?
I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
Are system of equations and system of linear equation the same?
No....not necessary
What methods can be used to solve a system of equations?
The answer depends on the nature of the equations. For a system of linear equations, the [generalised] inverse matrix is probably simplest. For a mix of linear and non-linear equations the options include substitution, graphic methods, iteration and numerical approximations. The latter includes trail and improvement. Then there are multi-dimensional versions of "steepest descent".
What is the definition of Simultaneous Linear Equations?
A system of linear equations is two or more simultaneous linear equations. In mathematics, a system of linear equations (or linear system) is a collection of linear equations involving the same set of variables.
A system of linear equations that has soluton is?
A system of linear equations that has at least one solution is called consistent.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is a system of linear equations that has no solution?
there is no linear equations that has no solution every problem has a solution
What is inconsistent system of linear equation?
It is a system of linear equations which does not have a solution.
What are the linear systems?
A "system" of equations is a set or collection of equations that you deal with all together at once. Linear equations (ones that graph as straight lines) are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
What are two or more linear equations using the same variables called?
A system of linear equations.
What are two symbolic techniques used to solve a system of linear equations in two variables?
I have never seen the term 'symbolic' used in this way. There are 4 methods used to solve a system of linear equations in two variables. Graphing, Substitution, Elimination, and Cramer's Rule.
Compare the symbolic method for solving linear equations to the methods of using a table or graph?
Equations = the method
What is a group of linear equations that use the same variables?
a system of equations
If a system of equations is independent how many soultions will it have?
A system of equations may have any amount of solutions. If the equations are linear, the system will have either no solution, one solution, or an infinite number of solutions. If the equations are linear AND there are as many equations as variables, AND they are independent, the system will have exactly one solution.
