warm-up on a separate sheet of paper to turn in, please write down 2 concepts of systems/matrices...

Warm-Up

• On a separate sheet of paper to turn in, please write down 2 concepts of systems/matrices you feel comfortable with and 2 concepts you do not feel comfortable with.

• Please elaborate on why you feel each concept is your strength/weakness. What are your goals to improve for the quest next class.

5-7 min

Matrix BaseballPRE-CALCULUS

Rules

– The batter(s) asks for a single, double, triple, or home run question. – If the team answers correctly, the appropriate selection is made on the

baseball diamond. Other runners advance the same number of bases. – If the question if answered incorrectly, a "flyball" is called, and the

question goes to a player of the team(s) that is "in the field." – After "flyball" is called, there will be pause before a player in the field is

called to answer the question. – If the player in the field answers the question correctly, the flyball has

been caught and the batter is out. One run is subtracted from the batting team's score for each out!

– If the outfielder misses the question, the flyball has been dropped and the batter goes to first base on an error. All runners advance one base on an error.

– Questions alternate between teams after each hit or out.

SYSTEMS OF EQUATIONS

MATRIX ADD, SUBTRACT, SCALAR

MULTIPLY

MATRIX MULTIPLICATION

INVERSE OF MATRICES

SINGLE SINGLE SINGLE SINGLE

DOUBLE DOUBLE DOUBLE DOUBLE

TRIPLE TRIPLE TRIPLE TRIPLE

HOME RUN

HOME RUN

HOME RUN

HOME RUN

SYSTEMS-SINGLE

• Solve the following system by elimination, substitution or elementary row operations.

A

SYSTEMS-DOUBLE• Solve the following system by elimination,

substitution or elementary row operations.

A

SYSTEMS-TRIPLE

• At a deli, ham costs $6.99 per pound and turkey costs $5.49 per pound. You want to buy exactly 3 pounds of lunchmeat for $18. How much ham and how much turkey should you buy?

A

SYSTEMS-HOME RUN

• Apple is processing their sales of iPads and iPhones. Their data shows that the Christiana store sold 516 total units of these items yesterday. iPads are $400 and iPhones are $200. Their revenue was $156,400. How many iPads and how many iPhones were sold yesterday?

A

MATRIX +, -, X-SINGLE

• Using Matrix A and B, perform the following operation

A

MATRIX +, -, X-DOUBLE• Using Matrix A and B, perform the following

operation

A

MATRIX +, -, X-TRIPLE• Using Matrix A and B, perform the following

operation

A

MATRIX +, -, X-HOMERUN• Using Matrix A and B, perform the following

operation

A

MATRIX MULT-SINGLE

• Multiply the following matrices. If they cannot be multiplied, explain why.

A

MATRIX MULT-DOUBLE• Multiply the following matrices. If they cannot

be multiplied, explain why.

A

MATRIX MULT-TRIPLE• Multiply the following matrices. If they cannot

be multiplied, explain why.

A

MATRIX MULT-HOMERUN• An ice-cream stall sells both vanilla and

chocolate ice cream. Matrix A and B display data from the ice cream shop

• Multiply these matrices and interpret what Row 2 Column 1 means.

A

101918

51712

chocolate

vanilla

50.3$

50.2$

25.1$

arg el

med

smallPrice# Sold

Sm. Med. Lar.

INVERSES-SINGLE

• Draw an identity matrix with an order of 5X5

A

INVERSES-DOUBLE• Determine if the following matrices are

inverses of one another. Please justify your answer.

A

34

27A

29/729/4

29/229/3B

INVERSES-TRIPLE

• Determine if the following matrices are inverses of one another. Please justify your answer.

A

046

2168

624

A

25/450/125/8

25/6100/350/1

25/125/325/2

B

INVERSES-HOMERUN

• Which two matrices below are inverses of one another?

A

28

62A

22/111/2

22/322/1C

12

85D

11/211/5

11/811/1B