Question

Solving a 3x3 system of linear equations that is inconsistent or consistent dependent.

A) Cramer's rule
B) Matrix multiplication
C) Eigenvalue analysis
D) Substitution method

Answer 1

The most appropriate method for solving a 3x3 system of linear equations that is inconsistent or consistent dependent is the Substitution method.

Step-by-step explanation:

The most appropriate method for solving a 3x3 system of linear equations that is inconsistent or consistent dependent is the Substitution method.

Step-by-step:

1. First, write down the three equations in standard form:

• ax + by + cz = d

Select one of the equations and solve it for one variable in terms of the other two variables.Substitute the expression for the variable found in step 2 into the other two equations.Solve the resulting system of two equations with two unknowns using any method of your choice.Once you have the values for two variables, you can substitute them back into any of the original equations to find the value of the third variable.

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