How to solve 4x4 matrix using cramer's rule?
Answers
Answer:
Cramer's rule is a method for solving systems of linear equations.
Step-by-step explanation:
From the above question,
They have given :
Cramer's rule is a method used to solve a system of linear equations with a single unknown variable. The steps to solve a 4x4 matrix using
Cramer's rule are as follows:
Cramer's rule is a method of solving a system of linear equations. It is based on the observation that each equation in the system can be written as a linear combination of the variables. The coefficients of the linear combination are then used to determine the value of each variable.
1. Write the 4x4 system of equations.
2. Calculate the determinant of the matrix (denoted by |A|).
3. Calculate the determinant of each matrix obtained by replacing one column of the original matrix with the constants from the system of equations (denoted by |A_x|).
4. Divide each of the determinants |A_x| by the determinant |A| to obtain the values of the variables.
5. Substitute these values into the system of equations to check the solution.
Cramer's rule can be used to solve linear equations with any number of variables and equations. The method can also be used to solve systems of equations with non-linear equations. The method is not limited to two equations, as long as the system of equations can be written in a linear form.
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