In P,, find the change-of-coordinates matrix from the basis 8= {1-31-3+1+ 10t 1+ 21) 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. 1 2 -4 CB 3 7 (Simplify your answers) Write as a linear combination of the polynornials in B. 2= -9(1+ 3) + (2+1+7?) + 1(1- 4t) (Simplify your answers) o Ten

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Q: 12 34

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A: The given matrix .The objective is to find the matrix .

Q: -4 -4 -16] A = 16 -18 -56 -4 6 -51 That is, write A = LDU where L is a lower triangular matrix with…

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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.