In P,, find the change-of-coordinates matrix from the basis B = {1-7,2 +t- 13t2,1 + 6t} to the standard basis. Then write t? as a linear combination of the polynomials in B. In P2, find the change-of-coordinates matrix from the basis B to the standard basis. P = C+B (Simplify your answers.) Write t as a linear combination of the polynomials in B. ? =(1- 712) +(2+t-131²) +[(1 + 6t) (Simplify your answers.)

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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.