All vectors and subspaces are in R". Check the true statements below: DA. The orthogonal projection ŷ of y onto a subspace W can somtimes depend on the orthogonal basis for W used to compute ĝŷ. OB. If y is in a subspace W, then the orthogonal projection of y onto W is y itself. C. For each y and each subspace W, the vector y – projw (y) is orthogonal to W. D. If the columns of an n x p matrix U are orthonormal, then UUTY is the orthogonal projection of y onto the column space of U. JE. If z is orthogonal to uj and uz and if W = Span{u1, u2}, then z must be in W+.

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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.