PP, i = 1,2. Let P Let Po, P1, and P2 be points in R². We denote r; = be the (2 × 2)-matrix with the rows r1 and r2. Let A denote the area of the triangle with the vertices med Po, P1 and P2. Explain why 1 A | det (P)|. Calculate A når Po = (1, 2), P = (2, 3) og P2 = (2, –2).

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A: if A is an n×n matrix and det(A)=a thendet(kA)=kn×adet(A-1)=1adet(AT)=adet(adj A)=an-1

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A: Here the Matrix . For this matrix P, .

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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.