(Question 28) Let S be the parallelogram determined by the vectors b1 = [4, -7] , b2 = [ 0,1 ] , andlet A= [ 5 2 1 1 ] Compute the area of the image of S under the mapping x -> Ax. 27. Let S be the parallelogram determined by the vectors6b₁ = [-²] ²3]2 = [-²]. ª3]. and let A = [32]Compute the area of the image of S under the mappingx → Ax.and b₂ =-[-4]. ₂ = [8][i]. and28. Repeat Exercise 27 with b₁ =A=[i 2].

Answered: Image /qna-images/answer/a37ada44-f0e6-4557-a82c-0fa178a71585.jpg

27. Let S be the parallelogram determined by the vectors 6 b₁ = [-²] ² 3] 2 = [-²]. ª 3]. and let A = [32] Compute the area of the image of S under the mapping x → Ax. and b₂ = -[-4]. ₂ = [8] [i]. and 28. Repeat Exercise 27 with b₁ = A=[i 2].

27. Let S be the parallelogram determined by the vectors 6 b₁ = [-²] ² 3] 2 = [-²]. ª 3]. and let A = [32] Compute the area of the image of S under the mapping x → Ax. and b₂ = -[-4]. ₂ = [8] [i]. and 28. Repeat Exercise 27 with b₁ = A=[i 2].

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter7: Distance And Approximation

Section7.1: Inner Product Spaces

Problem 12EQ

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(Question 28) Let S be the parallelogram determined by the vectors b1 = [4, -7] , b2 = [ 0,1 ] , and

let A= [ 5 2

1 1 ]

Compute the area of the image of S under the mapping x -> Ax.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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