Consider the following two ordered bases of R³: a. Find the change of basis matrix from the basis B to the basis C. [id]= b. Find the change of basis matrix from the basis C to the basis B. [id] = W B = ((1, 1, 1), (1, 0, 1), (1, 1, 0)), C = ((0,1,1), (0, 2, 1), (1,-1,0)). 1

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A: Since you have posted a multi subparts question according to guidelines I will solve first…

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A: The change of basis matrix is given as follows :

Q: Thank

A: Solution.

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Q: 10. B =

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Q: 3. Do the vectors (1, 1,0, 0), (1, -1,0,0), (0, 0, -1, 1) and (0, 0, -1, –1) form an orthogonal…

A: The solution is given as

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Q: Suppose A is the matrix for T: R³ → R³ relative to the standard basis. Find the diagonal matrix A'…

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Q: Suppose A is the matrix for T: R³ → R³ relative to the standard basis. Find the diagonal matrix A'…

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Q: =:"Consider the matrix formed by five vectors a¡: 1 -2 1 0 -3 1 -2 0 A = (a₁ a2 a3 as as) = 0 -1 -1…

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A: The given vectors are v=23, v1=45, v2=-54

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