aa2-LESSON 11.3-cramer's rule

aa2-LESSON 11.3-cramer's rule - 3 5 2 =-= + y x y x 8 3 2...

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11.3 Cramer’s Rule The Determinant of a 2x2 Matrix: D= bc ad d c b a - = Find the Determinant of the following matrices. 1 1 2 1 - 3 2 3 1 - We can find determinants with our TI. Enter the matrix and go to Matrix, Math, and choose det(
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Let’s look at the system: t dy cx s by ax = + = + t s d c b a We define d t b s D x = *** Replace the “x” coefficients with the constants! And t c s a D y = *** Replace the “y” coefficients with the constants! We define d c b a D = Cramer’s Rule says the solution to the system is: D D x x = and D D y y =
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Where 0 D If D = 0, then you must use some other method] Use Cramer’s Rule to solve.
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Unformatted text preview: 3 5 2 =-= + y x y x 8 3 2 13 3-=-= + y x y x 4 10 5 2 3 = + =-y x y x Try to use your calculator to find the Determinant of: 2 1 5 4 3 2 1 1 1--See page 878 – notice how the constant column always replaces the variable that you are solving for in the matrix. Now apply Cramer’s Rule to solve 12 2 5 15 4 3 2 4 =-+-= +--= +-z y x z y x z y x Homework: p. 881 # 15, 17, 21, 25, 27, 33, 35 Use Cramer’s Rule and show all set-ups [but find the determinants with your TI]...
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This note was uploaded on 05/13/2011 for the course MTH 98 taught by Professor Johnson during the Fall '09 term at Grand Valley State.

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aa2-LESSON 11.3-cramer's rule - 3 5 2 =-= + y x y x 8 3 2...

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