4. Find the vector form of the general solution of the linear system х, + 2х — хз + 3x, 3D 4 X1 – 3x2 + x3 – 2x4 = -3 2x1 + 2x2 + x3 – x4 = 4 Hence find the following (i) Basis and dimension for the Null space of the coefficient matrix (ii) Basis and dimension for the Row space of the coefficient matrix

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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.