1 3 -2 2 1 1 -5 Let A = 1 2 -3 7 -2 -8 2 -1 A. Do the columns of A span R4 ? B. Does the equation B = j have a solution for each j in R*? C. Can every vector in R* be written as a linear combination of the columns of the matrix A? D. Do the columns of A span R3? Why or why not?

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Q: Let A = {ª₁,2,ª3} and B = a₁ =3b₁ b₂, a₂ = − b₁ + 5b₂ + b3, a3 = b₂ − 2b3. a. Find the…

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Q: Express Ac as a linear combination of the columns of A.

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Q: Let a₁ = -4 a2 3 Write b as a linear combination of a₁, a2, and a3, if possible. b= -6 -2 3 " - a3 =…

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Q: Write a system of equations that is equivalent to the given vector equation. 2 -5 + - 9 ... Choose…

A: topic - matrices

Q: Can each vector in R* be written as a linear combination of the columns of the matrix A? Do the…

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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.