Consider the ordered bases B = (1-8x, 9x- 1) and C = (x - 2,3+3x) for the vector space P2 r]. a. Find the transition matrix from C to the standard ordered basis E = (1, x). %3D Pec = b. Find the transition matrix from B to E. PE-B = c. Find the transition matrix from E to B. PB-E d. Find the transition matrix from C to B. PB-C e. Find the coordinates of p(x) = x - 3 in the ordered basis B. p(z)]B f. Find the coordinates of q(x) in the ordered basis B if the coordinate vector of q(x) in C is q(z)]c = (1, –1).

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Q: Given vectors u = (5,0,0), v = (-2,-1,0), and w = (3,7,2), %3D %3D a) Determine if the vectors u, v,…

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Q: 3 2 2 1 a) X1= b) Уi%3D| - 3 y2=| 1 X2= 3 X3= 1 4 y3= 1 3 1 N O

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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.