Let {u1 (x) = 12, u2 (x) = 12x, u3 (x) = 8x² } be a basis for a subspace of P2. Use the Gram-Schmidt 1 process to find an orthogonal basis under the integration inner product (f,g) = | f(x)g(x) dx on C[0, 1]. Orthogonal basis: {v1(x) = 12, v2 (x) 12x + a, v3 (x) = 8x² + bx +c} а 3D Еx: 1.23 3 Ex: 1.23 : с — Еx: 1.23 3

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A: Please check step 2 for the solution.!

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A: NOTE: Refresh your page if you can't see any equations. . write all four vectors in the matrix A

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Q: = = 12, u₂ (x) = 18x, uz (x) = − 8x²} be a basis for a subspace of P₂. Use the Gram-Schmidt Let {u₁…

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A: Here given vectors v1=340, v2=213

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Q: 9 Find a basis and the dimension for the vector subspace W = ((x,y,z) e R³/ 2x-y+2=0 -8x+4y-4z=0}…

A: Step 1: Step 2: Step 3: Step 4:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.