# Calc Project

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#### 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
• 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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