Determine whether the statement below is true or false. Justify the answer. If H is a p-dimensional subspace of R", then a linearly independent set of p vectors in H is a basis for H. Choose the correct answer below. O A. The statement is false. It is possible for p vectors to be linearly independent without spanning H. O B. The statement is false. This is only true if n=p. OC. The statement is false. This is only true if n p. O D. The statement is true. Any set of p linearly independent vectors is a basis for H.

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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.