Dot products are prevalent in matrix algebra, this implies that it has several unique properties and it should be considered when formulation solutions: 1. А . В # В. А 2. А : (В. С) %3D(А . В) . С 3. А . (В + С) %3D А. В+А:С
Dot products are prevalent in matrix algebra, this implies that it has several unique properties and it should be considered when formulation solutions: 1. А . В # В. А 2. А : (В. С) %3D(А . В) . С 3. А . (В + С) %3D А. В+А:С
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Prove and implement the remaining 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be lower than (3,3).
![Task 1
Prove and implement the remaining 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be
lower than (3, 3).
(| np. array(O)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82c1e1e6-faa9-44c1-b7d3-af4b64f2934c%2F5bec1ce6-a8b4-4610-a262-ffc575d7f821%2Fw6aptmg_processed.png&w=3840&q=75)
Transcribed Image Text:Task 1
Prove and implement the remaining 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be
lower than (3, 3).
(| np. array(O)
![Rule 2: Dot Product has special properties
Dot products are prevalent in matrix algebra, this implies that it has several unique properties and it should be considered when formulation
solutions:
1. A · B+ B. A
2. А . (В. С) %3 (А - В) . С
3. А . (В + С) %3D А. В+А:С
4. (B + C) · A = B · A + C · A
5. A · I = A
6. A · Ø = Ø](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F82c1e1e6-faa9-44c1-b7d3-af4b64f2934c%2F5bec1ce6-a8b4-4610-a262-ffc575d7f821%2F42mnixj_processed.png&w=3840&q=75)
Transcribed Image Text:Rule 2: Dot Product has special properties
Dot products are prevalent in matrix algebra, this implies that it has several unique properties and it should be considered when formulation
solutions:
1. A · B+ B. A
2. А . (В. С) %3 (А - В) . С
3. А . (В + С) %3D А. В+А:С
4. (B + C) · A = B · A + C · A
5. A · I = A
6. A · Ø = Ø
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