True
IF they are math related, write appropriate equations and then apply math rules to solve the equations.
12 h = - 72
3x-8y=-1 -2x+6y=1
There are more than two methods, and of these, matrix inversion is probably the easiest for solving systems of linear equations in several unknowns.
True
Create a matrix of the coefficients of each equation. The solutions to the equations should make up the rightmost column of the matrix. Then, row reduce the matrix until you are able to rewrite the equations and solve them. The matrix should be a 4x5 matrix (4 rows and 5 columns) for four equations with four variables. This is known as a system of equations.
You can solve the system of equations with three variables using the substitute method, or using matrix operations.
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.
In the same way that you would solve equations because equivalent expressions are in effect equations
IF they are math related, write appropriate equations and then apply math rules to solve the equations.
Equations allow you to solve mathematical problems.
The most common use for inverted matrices is to solve a set of simultaneous equations.
12 h = - 72
You can use them for POE, process of elimination.
If you know matrix algebra, the process is simply to find the inverse for the matrix of coefficients and apply that to the vector of answers. If you don't: You solve these in the same way as you would solve a pair of simultaneous linear equations in two unknowns - either by substitution or elimination. For example, change the subject of one of the equations to express one of the variables in terms of the other two. Substitute this value into the other two equations. When simplified, you will have two linear equations in two variables.
It may be possible to solve equations. Expressions cannot be solved until they are converted, with additional information, into equations or inequalities which may have solutions.