Determine whether the statement below is true or false. Justify the answer. A subset H of R" is a subspace if the zero vector is in H. Choose the correct answer below. O A. This statement is false. For each u and v in H, the product uv must also be in H. O B. This statement is false. For each u and v in H and each scalar c, the sum u +v and the vector cu must also be in H. OC. This statement is false. The subset H is a subspace if the zero vector is not in H. O D. This statement is true. This is the definition of a subspace.

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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.