Stitz-Zeager_College_Algebra_e-book

# Thinking back to section 52 this means we can obtain

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Unformatted text preview: o x = −119 and y = 50. −1 1 So x = −1, y = 1 and z = 1. 1 8 −3 So x = 8, y = −3 and z = −6. −6 4 −1 So x = 4, y = −1 and z = −3. −3 5. (a) The adult male Sasquatch needs: 3 servings of Ippizuti Fish, 10 servings of Misty Mushrooms, and 15 servings of Sun Berries daily. (b) The adult female Sasquatch needs: 3 servings of Ippizuti Fish and 20 servings of Sun Berries daily. (No Misty Mushrooms are needed!) (c) The adolescent Sasquatch requires 10 servings of Ippizuti Fish daily. (No Misty Mushrooms or Sun Berries are needed!) 508 Systems of Equations and Matrices 8.5 8.5.1 Determinants and Cramer’s Rule Definition and Properties of the Determinant In this section we assign to each square matrix A a real number, called the determinant of A, which will eventually lead us to yet another technique for solving consistent independent systems of linear equations. The determinant is deﬁned recursively, that is, we deﬁne it for 1 × 1 matrices and give a rule by which we can reduce determinants of n × n matrices to a sum of determinants of (n − 1) × (n − 1) ma...
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