aa2-LESSON 11.3-cramer's rule

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

This preview shows pages 1–6. Sign up to view the full content.

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(

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 =
Where 0 D If D = 0, then you must use some other method] Use Cramer’s Rule to solve.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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]...
View Full Document

## 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.

### Page1 / 6

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

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online