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**Unformatted text preview: **Example 3-Find the determinant | 1 1 1 1 −5 1 −2 3 | | + − + − + − + − + ⋯ ⋯ ⋯ ⋮ ⋮ ⋮ ⋱ | Example 4- Find ? if | ? 1 3 ? | = −2 . Cramer’s Rule- Cramer’s Rule allows us to solve systems using _ determinants __. To solve the 2x2 system { ? ? + ? − ? = = 8 4 we need to compute three different determinants: - the determinant of the matrix of coefficients ?- the determinant of the ? matrix (i.e. the ? column gets replaced by the _ constant _ column.) ?- the determinant of the ? matrix (i.e. the ? column gets replaced by the _ constant __ column.) Once we’ve found those, Cramer’s Rule says th at: ? = ? and ? = ? Example 3- Solve using Cramer’s Rule . a. ? ? + ? − ? = = 8 4 b. ? 3? −2? −5? = = 2 9 If Cramer’s Rule says that ? = ? and ? = ? for a 2x2 system, what do you think the rule is for a 3x3 system? ? = ? and ? = ? and ? = ?...

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- Spring '19
- Tami Updike