The matrices A2 = 0 A1 Го A3 = [1 A4 = form a basis for the linear space V = R²x2. write the matrix of the linear transformation T : R?x2 → R²x2 such that T(A) = 2A + 15A" relative to this basis.

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A: Let,

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A: Introduction: The Gram–Schmidt process is a method for orthonormalizing a set of vectors in an inner…

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Q: The matrices A, = : ] 1 » A2 Аз A4 form a basis for the linear space V = R2x2. Write the matrix of…

A: We have

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Q: The Gram-Schimidt process transforms the basis u=(1, 3), u2-(1, -7) of R intothe orthogonal basis…

A: Given u1=⟨1,3⟩,u2=⟨1,−7⟩

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Q: 15. Use the Gram-Schmidt process to transform the basis {r1, x2, a3, T4} into an orthogonal basis…

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Q: Consider the matrix -1 A = 1 1 Find a basis of the orthogonal complement of the null space of A. ||

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Q: Is it true that when an n*n matrix whose columns form a basis of R^n, then A is invertible?

A: We shall answer this in next step

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Q: The Gram-Schmidt process transforms the basis u=(1, 2), u2 =(6, 2) of R² into the orthogonal basis…

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Q: Let V be a finite-dimensional vector space and T : V V be a linear transformation. If B and C are…

A: use property that similar matrix have same eigen value

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Q: d) Consider the linear map T: C→ C whose matrix in the standard basis e1, e2, e3 is (0 1 0V 0 0 1 0…

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