A square matrix is called an upper triangular matriz if all the entries below the main diagonal are zero. For example, the matrix [a b] A = 0 d is a 2 z 2 upper triangular matriz. 9. Show that the sum and the product of two upper triangular matrices of size two are upper triangular matrices. 10. If A and B are two upper triangular matrices of size two, then is it true that AB = BA, in general? Show your work. %3D

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A: A+-A=O

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A: The given matrix is 01b-10c-b-c0

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Q: find an LU factorization of the given matrix.

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Q: find an LU factorization of the given matrix.

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A: The solution is given as

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