A .3. Consider the subset of R' given by X = {(2,2, 1, 3), (7,5, 5, 5), (3, 2, 2, 1), (2, 1, 2, 1)}. Find a basis of Span X and extend this to a basis of R. A. 4. Find a basis for the subspace S of R defined by the equation z+ 2y + 3z = 0.

Q: Find the basis of subspace defined as S = {(a, b, c)|a - b +2c=0}.

A:

Q: Let X = [a, b, c]. Let U be the subspace spanned by the orthogonal basis {u = [1, 1, 1], v = [1, -1,…

A:

Q: Let V be a 3-dimensional vector space with a basis B = (v1, v2, v3). Let B' = (w1, w2, w3) where wi…

A: We have to find change of basic matrix from B' to B.

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.