In Exercises 29–32, find the elementary row operation that trans- forms the first matrix into the second, and then find the reverse row operation that transforms the second matrix into the first. 1 2 -5 1 2 -5 1 -3 -2 1 -3 -2 0 -3 9. 5 0 0 -1

Q: Find an LU factorization for the matrix A = -2 3 4 1 -3 0 2 3-2, Verify that LU = A.

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Q: Compute the adjugate of the following matrix: 5 60 adj 4 -7 -5 -10 -4 -6 000 000 000

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Q: elementary

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Q: Construct a matrix for which N(A) = all combinations of (2, 2, 1, 0) and (3, 1, 0, 1).

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Q: give an example of a matric whose inverse is the same matrix.

A: To find: an example of a matrix whose inverse is the same matrix.

Q: 4 Is the matrix A = -3 O Yes O No 1-3 1-3 2 -1 -4, invertible?

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Q: hat is a matrix

A: Matrix:

Q: Find the nullspace of the matrix

A: By definition , nullspace of a matrix A is the collection of all vectors x such that Ax=0 Given…

Q: 7. 1 4 -2 -7 -4 -5 -3 0 51 75

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Q: Can you please explain elementary matrices

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Q: 2 1 }], 3

A: LetWe have to find the inverse of the above matrix.We know that

Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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Q: Find ∣A−1∣ for the matrix

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Q: Compute the adjugate of the following matrix: -7 3 -6 0 0 0 0 0 0 0 0 0 adj -7 0 -2 %3D | 2 -8 4

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Q: Exercise 51. Is there a square matrix X with real entries such that det(X¹X) = -3?

A: detXTX=-3 X is a square matrix with real entries.

Q: ging %3D

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Q: is there any way you could write this on paper? or just write the matrix part on paper

A: We have the system of equations as x1+x2+x3=56x1+7x2-3x3=5