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When you have two linear equations how do you know when they are all real numbers?
The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.
Does the range of linear equations have all real numbers?
No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.
What are real life situations which are applications of linear equations?
Cell phone companies
Solve linear equations with complex coefficients on both sides?
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
How do you use additive inverse in the real world?
The additive inverse is used to solve equations; equations, in turn, are used to model many real-world situations.
When you have two linear equations how do you know when they are all real numbers?
The answer depends on what are meant to be real numbers! If all the coefficients are real and the matrix of coefficients is non-singular, then the value of each variable is real.
Does the range of linear equations have all real numbers?
No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.
What are real life situations which are applications of linear equations?
Cell phone companies
How do you solve a variable?
You cannot solve a variable. You can solve an equation to find the value (or range of values) of a variable. How you do that depends on the nature of the equation that you have. Linear and quadratic equations are relatively simple, as are many trigonometric and exponential equations. But some cannot be solved in such a way and a numerical solution is required. Here you would make a guess and then improve on that guess and then improve on that until you were satisfied that you were close enough to the real answer.
How are quadratic equations used in the real world?
There are many ways quadratic equations are used in the real world. These equations are used to calculate area, speed and profit
Solve linear equations with complex coefficients on both sides?
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
What has only one solution?
There are many possible answers to this question. Some of these areA linear equation.A system of n independent linear simultaneous equations is n unknowns.Quadratic equations in which the two real roots are coincident.Cubic equation where either all three roots are coincident or, if the domain is real, then when two of the roots are imaginary.
How do you solve imaginary equations?
The answer depends on the nature of the equation. Just as there are different ways of solving a linear equation with a real solution and a quadratic equation with real solutions, and other kinds of equations, there are different methods for solving different kinds of imaginary equations.
How do you use additive inverse in the real world?
The additive inverse is used to solve equations; equations, in turn, are used to model many real-world situations.
Equations are used to?
Equations are used to give a mathematical analysis of events or situations in the real world.
How can you use matrices to solve real world problems?
Matrices are tools to solve linear equations. Engineers use matrices in solving electrical problems in circuits using Thevenin's and Norton's theories.
When will i use quadratic equations in the real world?
December 3rd, 2029!
