Let A be a 2 × 2 matrix with linearly independentcolumn vectors a1 and a2. If a1 and a2 are usedto form a parallelogram P with altitude h , show that(a) h2| |a2| |2 = | |a1| |2| |a| |22 − (aT1a2)2(b) Area of P = |det(A)|

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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.