11.4 Matrix Algebra
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Easy
+2
Standards-aligned
Teacher karp
Used 23+ times
FREE Resource
22 Slides • 12 Questions
1
11.4 Matrix Algebra
Order matters when multiplying
2
Multiple Choice
3
Multiple Choice
4
Multiple Choice
5
Multiple Choice
6
11.3 Matrix Algebra
Add and subtract matrices
Multiply a matrix by a scalar
Find the product of 2 matrices
Determine the inverse of a matrix
Use inverse to solve a system
7
Add/Subtract
Matrix dimensions MUST match
First matrix is 2x2 and the second matrix is 2x2. Simply add the values in the corresponding cells
8
Matrix A and Matrix B have the same dimensions so let's add them...
Notice that matrices are labeled with a capital letter.
Answer provided on next slide
9
Multiple Choice
10
Now A-B
Don't over think this! Visually take the + sign out between the 2 matrices and replace it with a - sign. Do this now and choose an answer on the next slide. : )
11
Multiple Choice
12
Multiple Choice
Which below are A-B
13
These cannot be added.
Do you know why?
Answer on the next slide.
14
Multiple Choice
15
Here is an example of 2 equal matrices
of course one has values that need to be simplified.
16
scalar multiple looks like this
A matrix
3A which means multiply all elements in matrix A by 3.
17
If this is matrix B determine...
-2B
18
Multiple Choice
19
Time for...
dimensions MUST match to add or subtract matrics
a scalar multiple effects EVERY element in a matrix
equal matrices have the same dimensions and EXACTLY the same values for each element.
20
Multiplying a matrix by another matrix
things get a bit more challenging here.
21
22
We showed you the "why" you multiply the way we do.
Here comes the next step
23
24
Multiple Select
25
Multiple Choice
Determine the new matrix of CB (order matters in multiplying matrices) BE CARFUL HERE!!
26
Obtaining the inverse of a matrix is challenging
Need to use RREF and Identity matrix. Video coming up!
27
28
That's a lot of work
Next is how you use the inverse matrix
29
30
Try using
matrix to get a solution.The system of equations is to the right.
A and A inverse are also there. Use these to find the solutions to this system.
31
Multiple Choice
32
33
Shortcut 2x2
Using variables to understand
34
Go Practice!
11.4 Matrix Algebra
Order matters when multiplying
Show answer
Auto Play
Slide 1 / 34
SLIDE
