Given the bases B={u, u} and B'={u'1, u'z} for R2, where -1 Uz and u'2 The transition mat rix Pg-B from B to B' is: -1 OA 1 -1 OB. 1 -1 oc. -1 1 1 -1 1 -1 OE O 1

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A: Total derivative

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A: We apply the above formula to solve this

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A: In the question we have to find P matrix.

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Q: 6) roțațion 90° counterclockwise about the origin Made with Infi nite G eometrv

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Q: 1 2 [1 0 Find a mat rix P such that P-- 0 -1 0-1 1 - %D OA. 1 -1 0 P = В. 1 1 1 0 %3D OC. 1 1 1 0…

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (5,0,0), (0,6,0), and (0,0,3)

A: This question is related to triple integral, We will solve it using given information.

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Q: (a) Let F z sin y, where r(s,t) = st and y(s, t) = st. Use the chain rule to find %3D %3! OF

A: