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PoP, i = 1,2. Let P Let Po, P1, and P2 be points in R?. We denote r; = be the (2 x 2)-matrix with the rows ri and r2. Let A denote the area of the triangle with the vertices med Po, P1 and P2. Explain why A = | det(P)|.

PoP, i = 1,2. Let P Let Po, P1, and P2 be points in R?. We denote r; = be the (2 x 2)-matrix with the rows ri and r2. Let A denote the area of the triangle with the vertices med Po, P1 and P2. Explain why A = | det(P)|.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let P0, P1 and P2 be points in R2.

PoP, i = 1,2. Let P Let Po, P1, and P2 be points in R?. We denote r; = be the (2 x 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 A = det()- 1 | det(P)|.
Transcribed Image Text:PoP, i = 1,2. Let P Let Po, P1, and P2 be points in R?. We denote r; = be the (2 x 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 A = det()- 1 | det(P)|.
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