is a basis of the space of upper-triangular 2 x 2 matrices. Find the coordinates of M = [M]B = -5 0 B = - 3-99) -1 with respect to this basis.

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A: Note: According to guidelines I will answer first question only.

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Q: (6) Compute ind2 (19) modulo 101.

A: We recall the definition of a primitive root.

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Q: 3. Find the interval of convergence of the series ☎ n=1 (-1)"+¹(x-2)" 3"-n

A: Find the interval of convergence of the series

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A: The matrix .The objective is to find the projection of  onto .

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Q: -6 -5

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A: and To find: Infimum of the given sets.

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