Which of the following subsets of R 3 are actually subspaces?(a) The plane of vectors (b1, b2, b3 ) with b1 = b2(b) The plane of vectors with b1 = 1.( c) The vectors with b1 b2 b3 = 0.(d) All linear combinations of v = (1, 4, 0) and w = (2, 2, 2).(e) All vectors that satisfy b1 + b2 + b3 = 0.(f) All vectors with b1 < b2  < b3

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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.