Scribd
Upload
13 views2 pages

Lesson 5.1 Activity

The document is a lesson on matrices in discrete mathematics, including activities that require determining the size and specific entries of a given matrix A. It also includes identifying types of matrices and performing operations such as addition and subtraction on pairs of matrices. Additionally, it provides exercises to solve for matrix operations using given scalar values.

Uploaded by

epasamba
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
13 views2 pages

Lesson 5.1 Activity

The document is a lesson on matrices in discrete mathematics, including activities that require determining the size and specific entries of a given matrix A. It also includes identifying types of matrices and performing operations such as addition and subtraction on pairs of matrices. Additionally, it provides exercises to solve for matrix operations using given scalar values.

Uploaded by

epasamba
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 2

MS 101 – DISCRETE MATHEMATICS

Lesson 5: Matrices
Activity 5.1: Answer the following activity.
A. Given a matrix A.

0 −9 11 12 20 −11
𝐴 = [9 8 −1 15 24 2 ]
4 17 18 10 −1 3
5 6 19 −4 7 −2

Determine the following:


1. What is the size of matrix A?
2. What are the entries of the fourth row of matrix A?
3. What are the entries of the third column of matrix A?
4. What is the entry in the (3,4) th position of matrix A?
5. What is the entry in the (2,6) th position of matrix A?

B. Determine the kinds of matrices of the following:


Question Answer Question Answer
9 7 9 6 −1 1
1. [ ]
3 −1 6. [1 13 5 23 ]
3 10 1 −7
1 0 −1 0 0
2. [ ]
0 1 7. [ 4 2 0]
6 6 8
7 0 0 −2 −4 −2
3. [0 2 0] 8. [ 0 9 5]
0 0 8 0 0 3
7 0 0 −1 0 0
4. [0 7 0] 9. [ 0 −2 0 ]
0 0 7 0 0 −5
0 0 0 0 0 0 0 0 1
5. [0 0 0 0 0] 10. [1 0 0 0]
0 0 0 0 0 0 0 1 0

C. Find the sum and difference of the following matrices.


No. Matrices 𝐴+𝐵 𝐴−𝐵
4 7 5 −6
1 𝐴=[ ] 𝐵=[ ]
0 4 7 4
1 4 6 6 2 3
2 𝐴=[ ] 𝐵=[ ]
8 7 1 −2 5 7
4 6 3 −9 6 5
3 𝐴 = [8 −2 8 ] 𝐵 = [ 5 2 −4]
1 5 −9 4 8 3
1 4 13 16 1 6
4 𝐴 = [6 8 12 ] 𝐵 = [ 8 0 −11]
0 10 9 3 5 10
7 −8 −7 0 −2 7

D. Given the following information below, Solve for the following: 𝑟 = 4 𝑠 = −2


4 7 5 −6 1 4 6 6 2 3
𝐴=[ ] 𝐵=[ ] 𝐶=[ ] 𝐷=[ ]
0 4 7 4 8 7 1 −2 5 7
Question Answer
1. 𝑠𝐴
2. 𝑟𝐷

3. (𝑟 + 𝑠)𝐴

4. 𝑟(𝐴 + 𝐵)

5. 𝑠(𝐶 + 𝐷)

You might also like