Need help with this question. Please explain each step and neatly type up. Thank you :) 2. Let D be a polygon in R2 with vertices (xi, Yi) for i e {1,2, 3, ..., n}, for a fixed integer n.Use Green's Theorem to show the area of D is:(x1Y2 – 22Y1) + (x2y3 – X3Y2) +...+ (xn–1Yn- InYn-1) + (XnYı – x1Yn) .

Given, D be a polygon in ℝ2 with vertices (xi, yi) for i∈1, 2, 3 , . . ,n, for a fixed integer n…

2. Let D be a polygon in R? with vertices (xi, Yi) for i e {1, 2, 3, ..., n}, for a fixed integer n. Use Green's Theorem to show the area of D is: 1 (x1¥2 – T2Y1) + (x2Y3 – 13Y2) + .. + (xn-1Yn – PnYn–1) + (LnY1 – 21Yn)|.

2. Let D be a polygon in R? with vertices (xi, Yi) for i e {1, 2, 3, ..., n}, for a fixed integer n. Use Green's Theorem to show the area of D is: 1 (x1¥2 – T2Y1) + (x2Y3 – 13Y2) + .. + (xn-1Yn – PnYn–1) + (LnY1 – 21Yn)|.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 10EQ

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Need help with this question. Please explain each step and neatly type up. Thank you :)

2. Let D be a polygon in R2 with vertices (xi, Yi) for i e {1,2, 3, ..., n}, for a fixed integer n.
Use Green's Theorem to show the area of D is:
(x1Y2 – 22Y1) + (x2y3 – X3Y2) +...+ (xn–1Yn
- InYn-1) + (XnYı – x1Yn) .

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