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4 Cards in this Set
- Front
- Back
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What are the steps for finding the determinant of
a 3 x 3 matrix? |
Multiply each minor of the first column by the determinant of their respective 2 x 2 matrices. Use the sign array to place the appropriate sign in front of each of the factors and then add them up.
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Can the determinant of a 3 x 3 matrix be found by expansion by minors about any row or column?
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Yes. However, you must use alternating plus and minus signs proceeding the coefficients of the minors according to the sign array.
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How does the sign array start?
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+ - +
- + - + - + |
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How is Cramer's rule used to solve a system of 3 linear equations in three variables?
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Just like normal, except you have to go through the extra step of finding the minors to find the determinants first.
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