Skip to main content
  Pearl2324
  • Categories
    All categories
    Ijazah Sarjana Muda Sains (...
    Ijazah Sarjana Muda Sains (.../Bidang Biologi
    Ijazah Sarjana Muda Sains (.../Bidang Fizik
    Ijazah Sarjana Muda Sains (.../Bidang Kimia
    Ijazah Sarjana Muda Sains (.../Bidang Matematik
    Ijazah Sarjana Muda Sastera...
    Ijazah Sarjana Muda Sastera.../Bidang Geografi
    Ijazah Sarjana Muda Sastera.../Bidang Kesusasteraan
    Ijazah Sarjana Muda Sastera.../Bidang Sejarah
    Ijazah Sarjana Muda Sains K...
    Ijazah Sarjana Muda Sains K.../Bidang Antropologi-Sosiolog...
    Ijazah Sarjana Muda Sains K.../Bidang Ekonomi
    Ijazah Sarjana Muda Sains K.../Bidang Sains Politik
    Ijazah Sarjana Muda Penguru...
    Kursus Universiti
    Kimia Teknologi dan Lestari
    PJJ@USM 101 Pendidikan Sepa...
  • Home
  • Web Links
    Laman Web USM Laman Web PPPJJ CampusOnline Student Email Bhg.Pengurusan Akademik e-Pos PPPJJ
    Perpustakaan ebrary Online Tutorials Citation Style
  • Bahan Muat Turun
    Borang Menukar Kod Jenis Kursus Borang Melapor/Menukar Major-Minor Borang Penangguhan Pengajian
    Panduan Pendaftaran Akaun Identiti Panduan Pengaktifan Akaun Identiti Panduan Akses Campusonline Panduan Penggunaan Aplikasi Webex Panduan Konfigurasi WiFi (Win 10)
    Adobe Reader
  • Penilaian Pengajaran
  • Aduan/Bantuan
    Aduan Bantuan
You are currently using guest access
Log in
  Pearl2324
Categories Collapse Expand
All categories
Ijazah Sarjana Muda Sains (...
Ijazah Sarjana Muda Sains (.../Bidang Biologi
Ijazah Sarjana Muda Sains (.../Bidang Fizik
Ijazah Sarjana Muda Sains (.../Bidang Kimia
Ijazah Sarjana Muda Sains (.../Bidang Matematik
Ijazah Sarjana Muda Sastera...
Ijazah Sarjana Muda Sastera.../Bidang Geografi
Ijazah Sarjana Muda Sastera.../Bidang Kesusasteraan
Ijazah Sarjana Muda Sastera.../Bidang Sejarah
Ijazah Sarjana Muda Sains K...
Ijazah Sarjana Muda Sains K.../Bidang Antropologi-Sosiolog...
Ijazah Sarjana Muda Sains K.../Bidang Ekonomi
Ijazah Sarjana Muda Sains K.../Bidang Sains Politik
Ijazah Sarjana Muda Penguru...
Kursus Universiti
Kimia Teknologi dan Lestari
PJJ@USM 101 Pendidikan Sepa...
Home Web Links Collapse Expand
Laman Web USM Laman Web PPPJJ CampusOnline Student Email Bhg.Pengurusan Akademik e-Pos PPPJJ Perpustakaan ebrary Online Tutorials Citation Style
Bahan Muat Turun Collapse Expand
Borang Menukar Kod Jenis Kursus Borang Melapor/Menukar Major-Minor Borang Penangguhan Pengajian Panduan Pendaftaran Akaun Identiti Panduan Pengaktifan Akaun Identiti Panduan Akses Campusonline Panduan Penggunaan Aplikasi Webex Panduan Konfigurasi WiFi (Win 10) Adobe Reader
Penilaian Pengajaran Aduan/Bantuan Collapse Expand
Aduan Bantuan
  Pearl2324
  1. PJJ@USM 101
  2. Matrix Multiplication
PJJ@USM 101 Pendidikan Sepanjang Hayat

Image: 1684740260826.jfif, by DR. DARWALIS BINTI SAZAN

Folder

Matrix Multiplication

Back to course
Completion requirements
View

11

Topic 1.3 Matrix Multiplication SLT

Get YouTube Transcripts

 
Video
Please watch the video on Matrix Multiplication.

8 mins
Notes
Please download and read Notes 1.3
10 mins
Activity 1.1
Please complete Activity 1.3
30 mins


Activity 1.3


Let's go through an example of matrix multiplication.


Example:

Consider matrices 

A = [ 2 − 1 3 4 ]

  and 

B = [ 1 3 − 2 0 ]


Question: Find the product 

C = A ⋅ B

 

Solution: Matrix multiplication involves taking the dot product of each row of the first matrix with each column of the second matrix. The result is a new matrix.

C i j = ∑ k-1
n
A i k ⋅ B k j

 

Let's calculate each element of the resulting matrix 

C

C:

C 11 = ( 2 ⋅ 1 ) + ( − 1 ⋅ − 2 ) = 2 + 2 = 4

  

C 12 = ( 2 ⋅ 3 ) + ( − 1 ⋅ 0 ) = 6

  

C 21 = ( 3 ⋅ 1 ) + ( 4 ⋅ − 2 ) = 3 − 8 = − 5

  

C 22 = ( 3 ⋅ 3 ) + ( 4 ⋅ 0 ) = 9

 

So, the resulting matrix 

C

C is:

C = [ 4 6 − 5 9 ]

  

Therefore, 

A ⋅ B = [ 4 6 − 5 9 ]

 

Matrix multiplication is not commutative, meaning that 

A ⋅ B

 is not necessarily equal to 

B ⋅ A

 so the order matters.



If you have any more questions or if there's anything specific you'd like to explore further, feel free to ask!




Previous Activity
Next Section

Back to course
Contact site support
You are currently using guest access (Log in)
Get the mobile app
Powered by Moodle









  Pearl2324
Privacy Policy Terms & Conditions

Pearl PPPJJ 2023/2024 © 2025. All rights reserved.