Let U1, U2, U3 – be the following subspaces of R4 Ui={(a, b, c, d)eR*| a - b+ 2c+ d=0, a - Ob - - . 2d=0}; а - C-. Uz= {a, b, c, d)eR c=b=0 a=d; }; U3={a, b, c, d)eR“| a -b - 2.c + d=0, a - b +. c+ 2'd=0}; Find a basis and the dimension for each Ui, i=1, 2, 3

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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.