3 2. For real numbers r1,...,xn, consider|1 001 1 00 1 10 00 0000 0 00 0 011 n-10 1...In-...In other words, there are l's on and below the diagonal (except the (n, n) coefficient),and the last column is r1, r2,..,In. Compute this determinant. Make sure toexplain what you do. Note that this is a generalized version of the last determinantof Question 1, so you may want to apply the same techniques!.....

Answered: Image /qna-images/answer/864e7028-b28b-4915-98f4-08770df11a40.jpg

2. For real numbers 11,...,n, consider |10 0 1 1 0 0 1 1 0 0 0 0 0 0 ... W.w. ... 0 0 0 0 0 0 1 1 In-1 0 1 ... In- ... In other words, there are l's on and below the diagonal (except the (n, n) coefficient), and the last column is z1, 12,..., In. Compute this determinant. Make sure to explain what you do. Note that this is a generalized version of the last determinant of Question 1, so you may want to apply the same techniques!

2. For real numbers 11,...,n, consider |10 0 1 1 0 0 1 1 0 0 0 0 0 0 ... W.w. ... 0 0 0 0 0 0 1 1 In-1 0 1 ... In- ... In other words, there are l's on and below the diagonal (except the (n, n) coefficient), and the last column is z1, 12,..., In. Compute this determinant. Make sure to explain what you do. Note that this is a generalized version of the last determinant of Question 1, so you may want to apply the same techniques!

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.2: Linear Independence, Basis, And Dimension

Problem 16EQ

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