Algebra Portal

3_7_Determinants_and_Cramer's_Rule

Just who is this Cramer guy, and what's with his insistence on rules? Doesn't he know teenagers hate rules?

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Lesson_Notes

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Area_Revisited_Worksheet

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Area_Ans

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Book_Ans

Lesson_Videos

Objective 1a

You will be able to find the determinant of a 2x2 and a 3x3 matrix. Duration_9_19

Optional

Recognizr

Remember talking about facial recognition as an application of something that determines something else? In this case, the camera and software use facial structures and patterns to determine who you are. That's either awesome or scarry. Maybe a bit of both. Duration_1_05

Objective 1b

You will be able to find the determinant of a 2x2 and a 3x3 matrix. Duration_10_15

Optional

n x n Determinant

Khan Academy video that generalizes finding the determinant of an n x n matrix using the Expansion by Minors method. Duration_18_40

Objective 2

You will be able to find the area of a graphed triangle using determinants. Duration_6_27

Objective 3a

You will be able use Cramer's Rule to solve a linear system in 2 or 3 variables. Duration_13_14

Optional

Proof of Cramer's Rule

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Gabriel Cramer Biography

For you history buffs, here's a bit of a biography for Mr. Cramer, the guy whose Rule is giving you such fits. Duration_How ever long it takes to you to read the thing

Gabriel_Cramer_Bio

Objective 3b

You will be able use Cramer's Rule to solve a linear system in 2 or 3 variables. Duration_9_32

TEKS

Algebra II 3 (B) solve systems of three linear equations in three variables by using Gaussian elimination, technology with matrices, and substitution