Find the coordinate vector of p(x) in P., relative to the basis S= {p,.P.-P;}, where p(x) = 3+6x-10x, P(x) = 2- 4x, p:(x) =x+3x,p; (x) = 4+ 6x

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A: The answer is given below:

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A: Let's Solve,

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A: Question from linear algebra.

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Q: Find the matrix A' for T relative to the basis B'. T: R2 > R2, T(x, у) 3D (4х — Зу, 5х), В' %3 {(-2,…

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Q: 1. Find [p]8, relative to the basis B = {p1, P2, P3} for P2 where p = 4 – 3x + x², p1 = 1, p2 = X,…

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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.