Cramer’s Rule 3×3
Posted by Professor Cram in Systems of Equations
Cramer’s Rule (3×3)
For systems of three linear equations in three variables, this Formula Solver program walk you through the steps for finding the solution using Cramer’s Rule (also known as the Third Order Determinant Method). You can even work with your own values!
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Get More Help!
Click one of these links to get more help from another Cramlet in this same chapter:
- Bottomless Worksheet of Substitution Method Linear
- Bottomless Worksheet of Graphing Method
- Bottomless Worksheet of Elimination Method
- Bottomless Worksheet of Cramer’s Rule 3×3
- Systems of Linear Inequalities: Graphing Method
- Systems of Linear Equations: Substitution Method
- Systems of Linear Equations: Graphing Method
- Systems of Linear Equations: Elimination Method
- Cramer’s Rule 3×3
Awesome, love this calculator. I was sick when we did this in school and I had no idea what i was doing but this helped me get through it. Thanks
Perhaps I am not looking at this correctly. If you work out the math in the example above without replacing the default coefficients, the math doesn’t add up according to the tutorial.
[(4)(5)(0)+(-2)(-2)(3)+(0)(-1)(1)] – [(3)(5)(0)+(1)(-2)(4)+(0)(-1)(-2)] does not equal 20.
[(20+12+0) - (15-8+0)] = (32-7) = 25
Am I wrong?
Yeti, in your example you have (4)(5)(0) = 20 but it actually equals zero – ditto (3)(5)(0). That makes the expression (0+12+0) – (0-8+0) or 12 – (-8) or 12+8=20.
Gotta watch out for those zeroes.