let S be the collection of vector [x] (3x1 matrix) in R3 that satisfy the given                                          [y]                                                                                                                          [z]                                                                       property. In each case, either prove that S forms a subspace of R3 or give a counterexample to show it does not.  x = y = z

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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.