Question 7 Given matrix A below, answer the following questions, where column one is V1, column 2 is V2 and column 3 is V3: 1 2 0 A = 130 0 0 1 7.1. Find a symmetric matrix which consists of a new vector W that is orthog- onal to V2. 7.2. Derive the new matrix that consists of the normalized W, V2 and V3. 7.3. List two special features of a symmetric matrix.

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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.