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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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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)
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
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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