Download presentation

Presentation is loading. Please wait.

Published byAmie Daniels Modified over 6 years ago

1
Row 1 Row 2 Row 3 Row m Column 1Column 2Column 3 Column 4

2
A matrix of m rows and n columns is called a matrix with dimensions m x n. 2 X 3 3 X 3 2 X 1 1 X 2

3
3 X 22 X 23 X 3 1 X 22 X 11 X 1

5
To add matrices, we add the corresponding elements. They must have the same dimensions. A + B

6
When a zero matrix is added to another matrix of the same dimension, that same matrix is obtained.

7
GUIDED PRACTICE subtraction –4 0 7 –2 –3 1 2 2 –3 0 5 –14 2. – –6 –2 10 –2 –8 15 ANSWER

8
To subtract matrices, we subtract the corresponding elements. The matrices must have the same dimensions.

10
GUIDED PRACTICE Addition Perform the indicated operation, if possible. + –2 5 11 4 –6 8 1.1. –3 1 –5 –2 –8 4 –5 6 6 2 –14 12 ANSWER

12
Add and subtract matrices Perform the indicated operation, if possible. 3 0 –5 –1 a. –1 4 2 0 + 3 + (–1) 0 + 4 –5 + 2 –1 + 0 = = 2 4 –3 –1 –2 5 3 –10 –3 1 7 4 0 –2 –1 6 b. – 9 –1 –3 8 2 5 = 7 – (–2) 4 – 5 0 – 3 –2 – (–10) –1 – (–3) 6 – 1 =

13
ADDITIVE INVERSE OF A MATRIX:

14
Find the additive inverse:

15
Scalar Multiplication: We multiply each # inside our matrix by k.

17
GUIDED PRACTICE 4 –1 –3 –5 –2 –2 0 6 3 + 3 –3 –2 1 ANSWER

18
EXAMPLE 2 Multiply a matrix by a scalar Perform the indicated operation, if possible. 4(–2) 4(–8) 4(5) 4(0) –3 8 6 –5 = + a. 4 –1 1 0 2 7 –2 –2(4) –2(–1) –2(1) –2(0) –2(2) –2(7) = –8 2 –2 0 –4 –14 = b. 4 –2 –8 5 0 –3 8 6 –5 + –8 –32 20 0 –3 8 6 –5 = +

19
GUIDED PRACTICE 2 –1 –3 –7 6 1 –2 0 –5 – 4 –8 4 12 28 –24 –4 8 0 20 ANSWER Scalar multiplication

21
Scalar Multiplication:

22
6x+8=26 6x=18 x=3 10-2y=8 -2y=-2 y=1

23
GUIDED PRACCE Solve –2 –3x –1 4 y 9 –4 –5 3 12 10 2 –18 = + for x and y. x = 5 and y = 6 ANSWER

Similar presentations

© 2022 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google