Matrix Multiplication

Yesterday we did matrix multiplication basically this stuff is pretty easy to do. I'm just going to do one of the examples we did in class yesterday because i already did this once but it got erased by accident.


W T L
S=[7 2 4] P=W[2] 7(2)+2(1)+4(0)=16 T=[16]
[ 5 1 7] T [1] 5(2)+1(1)+7(0)=11 [11]
[ 8 0 5] L[0] 8(2)+0(1)+5(0)=16 [16]
[ 4 1 8] 4(2)+1(1)+8(0)=9 [ 9 ]

Press X not to die

In some video games there are "Quick time events" were the player must press the corrcet buttons when they apper on screen. During one of these events the fisrt button will be ether the A,B,X or Y button followed by one of the two trigger buttons then A,B,X, or Y twice afterwards.

If the player is guessing what are their chances of

a)Guessing the correct buttons with knowlage of the order b)Guessing the correct buttons without knowlage of the order

Ansure a)1/128 b)1/1296

Thursday sept,24/09 lesson was on Matrices

so i took the time to paint and i hope it helps some what!! :)

basically we learned all the basics:

the dimensions r figured out by getting the rows and then columns

ex the top left box's dimensions r

x= 3x5 and **when doing this make sure to always put ROWS FIRST**

Element is just 1 of the numbers in the matrix just like i showed the 2 in the top left matrix is just 1 element out of the 15 in the matrix

Ex 1 questions:

B: it asks 4 the dimensions so we count the rows first then we count the columns and we get A=4x3, 4 rows and 3 columns

C: asks 4 the # of elements which is found by just finishing the dimensions part, A=4x3 so the element amount would be 4x3=12, 12 is the amount of elements in the matrix

D: asks us to find what the element is in A42, so we go to row 4 and column 2 and the match is 68

E: asks us what the postions of element 50 is, it is in row 2 and column 3 so answer is A23

Ex 2 add/subtracting:

this just shows us how to add and subtract matrix together

RULE ** Can only add or subtract if they have the same dimensions**

(look to pic 4 more info)

Ex 3 Scalar - single #:

example 3 shows us how to multiply a matrix,

the prices in the matrix are in american and we need to find them out in canadian so we times it by the exchange rate of 1.46 and it gives us the prices we would have to pay in canadian

anyways i think that is all good luck to the rest of u

20 things

OK, today was a work period so I decided to add something of "value" since we did not have a blog draw today. Here are 20 Things I'm Glad Life Taught Me.
http://www.dumblittleman.com/2008/02/20-things-im-glad-life-taught-me.html

Math

YESTERDAY, we started thew class off with a little bit of Led Zeppelin, so that was alright.
We then carried on to correct Page 31-32. We talked and learned about the "or" in math questions. and learned the definition to Mutually Exclusive and NOT Mutually Exclusive.

Mutually Exclusive: two things that have nothing to do with each other)do not have common outcomes)

ex: the sum of 5 and the sum of 8

NOT mutually exclusive: They share outcomes

ex: the sum of 8 and doubles

Drunk Driver

Object &Rules: There are 52 cards in the deck. Ace is = to 1. You make a diamond of nine cards facing down. You flip one card from the deck to start the game (head card). If you think the bottom card of the diamond is lower than the head card and you are right you continue to play. The object of the game is to make it to the top of the diamond by guessing higher or lower than the previous card. You only have to guess one card per row and if you guess a 3 and the next card is a 3 you lose. If you guessed lower but the card was higher you lose the game and have to take 3 drinks of "coke" also I should add you have to continue to play game after game until you win. It gets you "a sugar rush" fast if you don't guess right.

My two friends and I did a experimental demonstration of the game this weekend and this is our results.

Game 1 Ashley:

4 Higher 10 Lower 3 Higher 7 Higher J Lower 3 WINNER!

Game 2 Reena:

Q Lower A Higher 8 Lower 4 Higher 2 LOSER!

Game 3 Reena:

K Lower 9 Lower J LOSER!

Game 4 Reena:

A Higher K Lower 8 Lower K LOSER!

Game 5 Reena:

3 Higher k Lower 6 Lower 7 LOSER!

Game 6 Reena:

6 Higher 9 Higher 3 LOSER!

Game 7 Reena:

10 Lower A Higher 7 Lower 2 Higher J Higher Q WINNER!

Game 8 Scott:

4 Higher J Higher 5 LOSER!

Game 9 Scott:

6 Lower 8 LOSER!

Game 10 Scott:

5 Higher 2 LOSER!

Game 11 Scott:

Q Lower 10 Lower 5 Higher 9 Lower 4 Higher 2 LOSER!

Game 12 Scott:

7 Higher J Lower 8 Lower 5 Higher 10 Lower 6 WINNER!

Game 13 Ashley:

4 Higher Q Lower 4 Higher 7 Higher A LOSER!

Game 14 Ashley:

J Lower 9 Lower 2 Higher 3 Higher 10 Lower 3 WINNER!

Game 15 Reena:

6 Higher K Lower Q Lower K LOSER!

Game 16 Reena:

3 Higher 3 LOSER!

Game 17 Reena:

9 Lower 6 Higher K Lower 9 Lower 8 Higher A LOSER!

Game 18 Reena:

A Higher 7 Higher Q Lower A Higher 2 Higher 10 WINNER!

Game 19 Scott:

5 Lower 8 LOSER!

Game 20 Scott:

Q Lower 2 Higher 6 Higher J Higher K WINNER!

PROBABILITY QUESTION:

What are the chances of winning the game over the course of 20 games, 100 games, 1000 games using our experimental demonstration? Does the answer change?

Answer: P(W)= 6/20 = 3/10

P(W)=30/100 = 3/10

P(W)=300/1000 = 3/10

No the answer does not change

Emmas Class Notes Sept 21

Sup this is Emma here. aka Simon

In class today we discussed the Independent and the Dependent Events.

Independent: No affect on each other
Dependent : There is an affect on each other.
*For only independent Events the formula is......P(A+B) = P(A)*P(B)

Example: A test is made up of 5 multiple questions, each with 4 possible answers. What is probability that you will at least get 1 answer correct, if you guess all 5 answers?

ANSWER:
P(no correct answer) = 3/4 * 3/4 * 3/4 * 3/4 * 3/4
= (3/4) po 5 = .237
P(at least 1 correct answer) = 1-P(no correct answer)
= 1-.237
= 76.3% chance of at least 1 correct

Our Homwork was on Pg 31 #1-9

toodles!

What To Wear...

Barb has FIVE shirts to choose from for a trip to Winnipeg. The color of shirts she has in her closet are, black, green, yellow, Purple and red. She is only able to take TWO shirts with her that are different colors. How many different pairs of shirts are possible that she can take with her?

A.) BG, BY, BP, BR, GY, GP, GR, YP, YR, PR,

bike race

Steven has registered in a 60 km bike race. There are 44 other people in the race. Steven has a favorite 3 digit number of 111. He wants to know what the probability of getting this number is. Can you tell him the answer?



Solution: there are only 9 possible numbers for the first digit (1-9)
there are 10 possible digits for the last two digits (0-9)
To find the answer: 9x10x10=900 possible three digit numbers



David Dempster

Ring Ring !!

http://www.sscommunicationsite.com/imagelib/sitebuilder/pictures/photos2go_images/communication/360785.jpg

The telephone was invented in 1870 by Alexander Graham Bell.

1. - Calculate how many possible phone numbers there are in an 11 digit phone number. *Each sequence must be a 3 or 4 digit number*

"Remembering that the first digit is 1 in all questions."

2. - Then decide how many phone numbers there are if the phone numbers 10 digits has the following criteria:

- The first 4 digits is the year you were born, the next 1 digit is how many letters are in your first name, the next 2 digits are any 2 #'s above zero that add up to 9, the next digit is the first # of your house number, and the last 2 digits is the number of students in the classroom.

Ex: 1.9.9.2.7.9.6.3.1.2. Your answer?

What Form(s) did you use?