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What is one of the biggest advantages of having 4x4 matrices representing the transformations? Translations cannot be modeled in 3x3 matrices, but they can be in 4x4 matrices It allows us to consider time as the fourth dimension Computationally, a 4x4 matrix requires less memory than a 3x3 matrix All 4x4 matrices are invertible

What is one of the biggest advantages of having 4x4 matrices representing the transformations? Translations cannot be modeled in 3x3 matrices, but they can be in 4x4 matrices It allows us to consider time as the fourth dimension Computationally, a 4x4 matrix requires less memory than a 3x3 matrix All 4x4 matrices are invertible

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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**Question:** What is one of the biggest advantages of having 4x4 matrices representing the 3D transformations? **Options:** - Translations cannot be modeled in 3x3 matrices, but they can be in 4x4 matrices - It allows us to consider time as the fourth dimension - Computationally, a 4x4 matrix requires less memory than a 3x3 matrix - All 4x4 matrices are invertible
Transcribed Image Text:**Question:** What is one of the biggest advantages of having 4x4 matrices representing the 3D transformations? **Options:** - Translations cannot be modeled in 3x3 matrices, but they can be in 4x4 matrices - It allows us to consider time as the fourth dimension - Computationally, a 4x4 matrix requires less memory than a 3x3 matrix - All 4x4 matrices are invertible
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