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Unformatted text preview: o x = −119 and y = 50. −1
1 So x = −1, y = 1 and z = 1.
−3 So x = 8, y = −3 and z = −6.
−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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