15 21. Let = , u₁ = = , uz = (a) Are u and 2 orthogonal? 3 and let W be the subspace of R4 spanned by u₁ and 2. (b) Decompose as =₁₂, where ₁ is in W and 2 is in W+. (c) Which vector in this problem represents the closest point to in the subspace W? (d) Find the (minimal) distance from y to W.

Q: a. T: Show that following transformations are not linear. R3 → R³ T(x, y, z) = (x + y, 2, z − y) R²…

A: a) T(u+v)=T(u)+T(v) since the second component differs. So, T is not linear.b) T(u+v)=T(u)+T(v)…

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Q: solve and show me pass to pass

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A: ANSWER : ( a ) ​  ANSWER : ( b ) ​STEP 1 ​​  STEP 2 ​​ STEP 3 ​​ STEP 4 ​​   ANSWER : ( c ) ​

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A: First, we need to find the prime factors of 630. The prime factorization of 630 is 2 * 32 * 5 * 7.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Step 1: Step 2: Step 3: Step 4:

Q: Please help on all asked questions. Please show all work and steps. Please circle the final answer.

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Q: DO NOT WANT AI SOLUTION. Thank You

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A: FOR ANY QUERIES PING ME

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Q: Can you carefully explain part C please? You don't need to do B I just thought you need it for part…

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Q: No Chatgpt please will upvote

A: Step 1: Compute B⊤BThe matrix B⊤B is calculated as follows:B=⎣⎢⎢⎢⎡​−111−1​11−1−1​1111​⎦⎥⎥⎥⎤​.Perform…

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Q: Problem 11 (Gram-Schmidt). Try the Gram-Schmidt procedure for the vectors, 1 0 2 with respect to the…

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A: (a) Show that∣∣∣∣​∫CR​​z3+z+1dz​∣∣∣∣​≤R3−R−1πR/2​.​Let CR​​ denote the arc of the circle ∣z∣=R,…

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Q: Not use ai please

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