Problem 3 Consider the matrix 1 -1 5 A = 2 7 -3 -5 -3 (i) Find a basis for col (A) and determine the rank of A. (ii) Find a basis for null(A) and determine the dimension of null(A). (iii) Let B1 denote the basis of the col(A). What is x given that [x]B, ?

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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.