what is Cramer's rule?
Answers
Hey mate here is your answer:-
A method for solving a linear system of equations using determinants. Cramer’s rule may only be used when the system is square and the coefficient matrix is invertible.
Hope this helps you............
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Cramer’s Rule is one of many techniques that can by used to solve systems of linear equations. Cramer’s Rule involves the use of determinants to find the solution and like any other technique it has its advantages and disadvantages.
Cramer’s Rule itself is very simple, but the notation used requires a little bit of explanation, so lets take a look at Cramer’s Rule.
To use Cramer’s Rule to solve a system of three equations with three unknowns, we need to follow these
steps:
Step 1:
Find the determinant, D, by using the x, y, and z values from the problem.
Step 2:
Find the determinant, Dx, by replacing the x-values in the first column with
the values after the equal sign leaving the y and z columns unchanged.
Step 3:
Find the determinant, Dy, by replacing the y-values in the second column
with the values after the equal sign leaving the x and z columns unchanged.
Step 4:
Find the determinant, Dz, by replacing the z-values in the third column with
the values after the equal sign leaving the x and y columns unchanged.
Step 5:
Use Cramer’s Rule to find the values of x, y, and z