Question: Reference :Peter J. Olver and Chehrzad Shakiban, Applied Linear Algebra, 2 nd edition, Springer, 2018. Course: MAT3341 Applied Linear Algebra. University of Ottawa Exercise: Let

Reference:Peter J. Olver and Chehrzad Shakiban, Applied Linear Algebra, 2 nd edition, Springer, 2018.

Course: MAT3341 Applied Linear Algebra. University of Ottawa

Exercise: Let A=401041115 i) Using the specific form of the A matrix and the Gershgorin theorem, find the smallest interval containing the eigenvalues of A (without calculating them at this stage). ii) CalculateA2

iii) Decompose the matrix as A = QQT where Q is an orthogonal matrix and is a diagonal matrix.

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