32. Let p, (t) = 1 +t², p2(t) = t – 3t², p3(t) = 1 +t – 3t2. || - - a. Use coordinate vectors to show that these polynomials form a basis for P2. b. Consider the basis B = {p1,P2, P3} for P2. Find q in P2, given that [q]B 1

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Q: the basis of P2 cons tive to B.

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Q: your work. 91² - r°, t+ 21°, 1 +t- 9r?

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Q: -1 BBBB 7 -1 ind the coordinate vector of x = -5 with respect to the basis B = 0 for R³.

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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.