Let {u,., up} be an orthogonal basis for a subspace W of R" and {vr, ., vg} be an orthogonal basis for W+. Let a € R", u be the orthogonal projection of the x onto W and v be the orthogonal projection of the x onto W+. Determine which of the following is false. a. I=u -v b. ||||? = ||u||? + ||v||? c. The minimum distance between any y E W+ and x is ||u|| d. The minimum distance between any y E W and x is ||lv|| e. none of these

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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.