Let%3DandCompute the area of the parallelogram determined by four points with position vectors ủ, v, ủ + ở, 0. Compute thedeterminant of the 2 × 2 matrix [ ū, v]. How do they compare? Replace the first entry of ở by an arbitrary numberx, and repeat the problem. Draw a picture of both parallelograms and explain geometrically what happens to thearea of the parallelogram when the first coordinate of i is changed to x.3.2.

Answered: Image /qna-images/answer/bbdfef3a-9a90-4be1-ab3a-90b438432751.jpg

Let and i = Compute the area of the parallelogram determined by four points with position vectors ū, i, ū+ i, 0. Compute the determinant of the 2 × 2 matrix [ i, 7]. How do they compare? Replace the first entry of v by an arbitrary number x, and repeat the problem. Draw a picture of both parallelograms and explain geometrically what happens to the area of the parallelogram when the first coordinate of ở is changed to x.

Let and i = Compute the area of the parallelogram determined by four points with position vectors ū, i, ū+ i, 0. Compute the determinant of the 2 × 2 matrix [ i, 7]. How do they compare? Replace the first entry of v by an arbitrary number x, and repeat the problem. Draw a picture of both parallelograms and explain geometrically what happens to the area of the parallelogram when the first coordinate of ở is changed to x.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.4: Similarity And Diagonalization

Problem 41EQ: In general, it is difficult to show that two matrices are similar. However, if two similar matrices...

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