Calc Project

Calc Project

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  • 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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