-{------ED 3 նշ 0 find an orthogonal basis under the Euclidean inner product. Let = a = Ex: 5 Orthogonal basis: = 0 -~--~--~-8) = 0 , = a 0 b = Ex: 5 be a basis for R³. Use the Gram-Schmidt process to b , V3 = C = Ex: 5 C

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Q: in M₂ (R). (1) Find a basis of the span of (3)-(1)-(7)

A: Bartleby Guidelines:-“Since you have posted multiple questions, we will provide the solution only…

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Q: Show that {u₁, u2} is an orthogonal basis for R². Then express x as a linear combination of the u's.…

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Q: 6. -4 Új = -5 U2 = 3 form a basis for R’ if and only if k #

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Q: Dim (3) Ex. consider T: IR ³ -> R² T( 9₁, 92, ₁₁, 95) = (artastas, 92-94)}. T NCT) = ((a., 92, 93,…

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Q: Problem 10. Consider the following set of polynomials in P₁: S = {1+ 3t² +t³, 1+t+ 2t³ + 3t¹, t+t² +…

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Q: 3. Suppose W (a) (b) a = = {( 2 ): 9₂ Prove that W is a subspace of M2x2 (R). : a, b, c ER CER}.…

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