8.* Which of the following sets are vector subspaces of R3 and what are their dimensions? A = {0} B = {a(-1, 1,0), Va e R} C = {x € R³ | 4xı + x2 + 3x3 = 0 and r1 = -x2} D = {a(1,1,0) + b(0, 0, 1), Va, b E R} E = {a(1, 1,0) + b(2, 2, 0), Va, b E R} F = {r € R* | 4.x1 – x2 + 3r3 = 0} G = {x € R° | x1 – x2 + 2x3 = 8} %3D %3D

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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.