Calc Project
Storyboard Text
- Hi Kamran! It's nice to see you! It's been a long time since we were in Calc together!
- Hey Max! I'm a math teacher now, actually! I teach Calc at SIA!
- That's awesome! I'd love to come visit soon and watch you teach a math class.
- That would be awesome! I'm actually starting a new chapter tomorrow if you'd like to be there for it.
- I'd love to. See you tomorrow!
- First, we must determine the order of the matrices. The number of columns in A must equal the number of rows in B.
- Bye!
- Hello Class! Today we will be learning about matrix multiplication! And we have a special guest!
- We begin by multiplying each row by each column. For example, R1xC1, R1xC2...and so on.
- This is my high school classmate, Maxine. Everyone say hello.
- Hi Everyone! It's so nice to meet you all. Let's learn some matrix multiplication!
- Hi Everyone! It's so nice to meet you all. Let's learn some matrix multiplication!
- R1xC1 R1xC2 R1xC3 R2xC1 R2xC2 R2xC3 R3xC1 R3xC2 R3xC3
- Yes, first we have to multiply every number in the first row by every number in the first column, add them and place it in the upper left-hand corner of the product.
- -2 4 0 1 8 3
- x
- 3 2 4 8 1 5
- Maxine, do you know what the first step is with this example?
- That's right. So, R1xC1 is (-2)(3) + (8)(4)= 26. We now put 26 in the upper-left corner of the result matrix.
- 26
- My memory is still fresh! Let's see one of the students continue the problem!
- R1xC1= -6+32=26
- Ok class, who wants to finish the rest of the first row?
- Nobody? Come on guys, be enthusiastic, take a risk! Ok Jennifer, you answer this
- I don't want to answer it, please ask someone else
- Ok then. Jake! please come up to the board to solve this problem for the class.
- Ok what do you do now?
- Now you multiply the first row in the 3x2 by the second column in the 2x3. You get (-2)(2) + (4)(1) = 0. Then you multiply the first row by the third column. You get (-2)(4) + (4)(5) = 12
- 26 0 12
- Great job Jake! You did that like it was 2+2! You can sit now.
- Oh yea! I saw this when studying for my subject test!
- R1xC2: -4+4=0 R1xC3: 20-8=12
- Yaseen, are you late again? What was it this time, you slept too long?
- Seems like we've got a late one haha.
- I'm so sorry, I had a doctor's appointment, I just got back to school.
- Since you're late, you'll finish the next row of this matrix multiplication example
- Oof that'll be tough.
- That's not good, I wasn't here for the beginning of the lesson.
- Fill out the next row.
- 26 0 12
- Hey Kamran, don't you think your being a little harsh?
- Oh! I've seen this before, I think I can do it.
- You're close and have the right idea, but that isn't it. It doesn't go by individual number, but rather multiplying a specific row with a specific column
- 26 0 12
- I think I'm supposed to multiply each number in the left matrix by the numbers in each column in the right matrix and add them. So it would be (0)(3)+(0)(8) giving me zero for the result of the first number in the middle row?
- Precisely!
- 26 0 12 8 1 5
- So that means I would have to do (0x3)+(1x8), then (0x2)+(1x1) and lastly (0x4)+(1x5)?
- R2xC1: 0+8=8 R2xC2: 0+1=1 R2xC3: 0+5=5
- Precisely!
- You saved yourself there Yaseen, now that your seated, I'll finish the last row since we're running out of time
- 26 0 12 8 1 5 48 19 47
- R3xC1: 24+24=48 R3xC2: 16+3=19 R3xC3: 32+15=47
- Class is almost over already? I guess time flies when you're having fun!
- Ok class, let's thank Maxine for coming out and being such a wonderful addition to our class!
- Thank you so much!
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