Find if possible a nonsingular matrix P such that P-'AP is diagonal. 7 4 -4 (w) a-[] 1 2 (a) A (b) А- 4 -8 -4 -8 -1

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Q: 2 Prove that the 3 × 3 matrix A = 4 -1 cannot be factored as A = LDL". 1 -1 3

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Q: 1. Show that the matrix 2 1 A = 1 2 -1 -1 is positive definite.

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Q: (1.) Let A = Obtain a matrix that is similar to A.

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A: Below mentioned a example related to this, you can construct many.

Q: [ 2 Find the inverse of the invertible matrix A = 5 -2

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Q: 1- the rank of the matrix A.

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Q: 43 A and B are B,3 matrices where lAl = -3 and IBl =2. Giren this, what is |-2 AD-2|?

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Q: Find if possible a nonsingular matrix P such that P-'AP is diagonal. 7 4 -4 1 2 (a) A = 2 (b) А- -8…

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Q: 5. Identify an elementary matrix E such that 1. E- 2 2 4.

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Q: 8. Consider a linear system whose augmented matrix is of the form 2. 4 -2 For what values of a will…

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Q: 4. If a matrix is diagonal, then it is symmetric. It is not true that either the matrix is symmetric…

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Q: Find a 2×2 matrix A for which E1 = span [1      and      E2 = span [2                     2]…

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Q: (8) If A is strictly dominant matrix, then || A l2= p(A).

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