Sketch each of the following sets and decide if they are open sets. Give brief reasor for your decision. (a) The open interval (-1, 1) in the normed vector space (R,| |). (b) The closed interval -1, 1] in R. (c) The interval (0, 0) in R. (d) The line (2r, r) : a E R} in R2. (e) The square (0, 1] x [0, 1) in R². (f) The set {(0,0,0)}U (0, 1) x (0, 1) × (0, 1) in R".

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Q: No. 6 (a, b, c)

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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.