Let 8= {b,,b2} and C= {c1.c2} be bases for a vector space V, and suppose b, = -9c, +8c2 and b, = - 3c, + 7c2. a. Find the change-of-coordinates matrix from B to C. b. Find (x]c for x= 3b, - 6b2. Use part (a).

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: .

A: For part (a): According to the given information, it is required to calculate

Q: skip the first 3 thank you

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A: I have written in the form Ax=b and used inverse matrix method.

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Q: [1 |A = [a1, a2, a3, a4] 2 11 5 0 3 -1 4 0

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: We will find out the required solution.

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Q: et B = and C = {c1,c2} be bases for a vector space V, and suppose b, = 8c, - 5c2 and b2 = - 7c, +…

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Q: Find the matrix A of the quadratic form associated with the equation. 9x2 - 6xy +9y2 + 24z² - 29 = 0

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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.