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10.3 Determinants and Cramer’s Rule What three words in the English language start with “dw….”? 10.3a Determinants and Cramer’s Rule Dwarf Dwell Dwind le What three words in the English language start with “dw….”? Determinants 2 by 2 determinant a b D ad bc c d 3 2 Evaluate : 6 1 4 2 Evaluate : 5 3 Cramer’s Rule ax by s The solution to the system is given by cx dy t Dx x D y Dy D a b s b a s where D , Dx , Dy c d t d c t Cramer’s Rule Solve the following system of equations using Cramer’s Rule. 2x 4y 16 3x 5y 9 Cramer’s Rule Solve the following system of equations using Cramer’s Rule. 3x 2y 0 5x 10y 4 Determinants 3 by 3 determinant a b D d e g h c e f a h i f d b i g f d e c i g h OR a b D d e g h c b c a c a b f d e f h i g i g h i etc… Determinants 1 3 -2 Evaluate : 6 1 -5 8 2 3 Determinants 3 -9 4 Evaluate : 1 4 0 8 -3 1 Cramer’s Rule Cramer’s Rule Let’s apply Cramer’s Rule to solve a system of three equations. 2x y z 8 2x 3y z 4 4 x 2y 3z 3 Cramer’s Rule Let’s apply Cramer’s Rule to solve a system of three equations. x 2y 5 4 x 8y 6 10.3 Determinants and Cramer’s Rule What two words in the English language end with “…-gry”? 10.3 Determinants and Cramer’s Rule Angry Hungry p.767 #25, 27, 33-37 odd What two words in the English language end with “…-gry”?