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9-5 Higher Order Determinants

9-5 Higher Order Determinants. Cramer’s Rule and 3 by 3’s. How to Evaluate a 3 by 3 Determinant. ceg. bdi. afh. cdh. aei. bfg. +. –. +. –. –. Example. 1. Evaluate . Cramer’s Rule. It will look scary at first, but it is the SAME EXACT CONCEPT as a 2 by 2 situation.

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9-5 Higher Order Determinants

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  1. 9-5 Higher Order Determinants Cramer’s Rule and 3 by 3’s

  2. How to Evaluate a 3 by 3 Determinant ceg bdi afh cdh aei bfg + – + – –

  3. Example 1. Evaluate

  4. Cramer’s Rule It will look scary at first, but it is the SAME EXACT CONCEPT as a 2 by 2 situation. That is, the denominator of each solution is the determinant of the coefficients. The numerator is the coefficient determinant with the appropriate column replaced by the solutions. That is, the x column replaced when solving for x, the y column when solving for y and the z column when solving for z.

  5. Hint: if you can find x and y, just sub in to find z

  6. Examples 2. 3. Uhoh…what happens when the denominator equals zero?

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