Are You Smarter Than a College Algebra-

Matrices?

Are You Smarter Than a College Algebra-

Matrices?

Co-Authors:

Mrs. Heckman, Mrs. Angerer

Are You Smarter Than a 5th Grader?

Are You Smarter Than a 5th Grader?

1,000,000

Inverse (2 x 2)Inverse (2 x 2) Cramer’s Rule

Determinant (3 x 3)Determinant (3 x 3) Determinant (4 x 4)

Matrix MultiplicationMatrix Multiplication Determinant (2 x 2)

System of InequalitiesSystem of Inequalities Operations of Matrices

System - SubstitutionSystem - Substitution System - Mult/Addition

500,000

300,000

175,000

100,000

50,000

25,000

10,000

5,000

2,000

1,000

Inverse (2 x 2) Inverse (2 x 2)

Find A 1 :

A3 2

4 5

Inverse (2 x 2) Answer Inverse (2 x 2) Answer

Return

A 1 1

7

5 2

4 3

Cramer’s Rule Cramer’s Rule

Solve :

x 3y z 3

3x y 2z 1

2x y z 1

Cramer’s Rule Answer Cramer’s Rule Answer

Return

( 2, 1, 4)

Determinant (3 x 3)Determinant (3 x 3)

Find A :

A2 5 1

3 1 6

4 2 3

Determinant (3 x 3) AnswerDeterminant (3 x 3) Answer

Return

133

Determinant (4 x 4)Determinant (4 x 4)

Find B :

B

2 5 1 0

4 0 3 0

3 2 1 6

1 4 2 0

Determinant (4 x 4) AnswerDeterminant (4 x 4) Answer

Return

378

Matrix MultiplicationMatrix Multiplication

Find AB :

A1 4

2 3

and B

3 2

1 5

Matrix Multiplication Answer Matrix Multiplication Answer

Return

AB 1 22

9 11

Determinant (2 x 2)Determinant (2 x 2)

Find C :

C 6 4

3 2

Determinant (2 x 2) AnswerDeterminant (2 x 2) Answer

Return

24

System of InequalitiesSystem of Inequalities

Graph :

x y2 0

x2 y2 4

System of Inequalities Answer

System of Inequalities Answer

Return

Operations of MatricesOperations of Matrices

Find 2A B :

A0 2 7

5 4 3

and B

8 4 0

0 1 4

Operations of Matrices Answer

Operations of Matrices Answer

Return

2A B 8 8 14

10 7 10

System - SubstitutionSystem - Substitution

Solve :

x2 y2 25

3x 4y 25

System - Substitution AnswerSystem - Substitution Answer

Return

( 3, 4)

System - Mult/AdditionSystem - Mult/Addition

Solve :

7x 8y9

4x 3y 10

System - Mult/Addition Answer

System - Mult/Addition Answer

Return

( 1, 2)

Million Dollar QuestionTopic: Inverse (3 x 3)Million Dollar QuestionTopic: Inverse (3 x 3)

1,000,000 Question1,000,000 Question

Find B 1 :

B3 0 2

0 1 0

4 0 2

1,000,000 Answer 1,000,000 Answer

B 1 1

14

2 0 2

0 14 0

4 0 3

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