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

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Q: b. If c # 0, is the following property true or false?· (CA)-1 = c-1A-1

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Q: 3.2 Exercises PS2.9 Consider the matrices: A = (a) -2A (b) B-2A 0 -5 -1 -5 B-4 0-1 C= = Compute each…

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A: Ans: A is not invertible , because

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Q: (18) Does a 2 × 2 diagonal matrix commute with every other 2 × 2 matrix?

A: We have to check

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A: Given: A matrix .To find: The Row operations by which the matrix is reduced to

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Q: 6. In a "full" linear algebra course, students learn a process known as LU factorization. This…

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Q: Define Matrix multiplication in your own words.

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