- 2 Let u, = u2 = - 2 and u3= Note that u, and uz are orthogonal but that uz is not orthogonal to u, or u2. It can be shown that 1 2 uz is not in the subspace W spanned by u, and u,. Use this fact to construct a nonzero vector v in R3 that is orthogonal to u, and u,. A nonzero vector in R' that is orthogonal to u, and uz is v =

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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.