1 be the n x n matrix with the following form: 1 1 1 1 1 .. 1 2 2 2 ... 1 2 3 3 3 ... A = 1 2 3 4 4 ... 1 2 3 4 n ... the determinant of A. Hint: do not try to use cofactor expansic ... ...

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Let A be the n x n matrix with the following form:
1
1
1
1
1
1 2 2 2
1 2 3 3
3
...
A =
1 2 3 4
4
..
: :::
|1 2 3 4
...
Find the determinant of A. Hint: do not try to use cofactor expansion. Instead use a clever
sequence of row reductions to simplify the matrix and track the effect these reductions have
on the determinant.
Transcribed Image Text:5. Let A be the n x n matrix with the following form: 1 1 1 1 1 1 2 2 2 1 2 3 3 3 ... A = 1 2 3 4 4 .. : ::: |1 2 3 4 ... Find the determinant of A. Hint: do not try to use cofactor expansion. Instead use a clever sequence of row reductions to simplify the matrix and track the effect these reductions have on the determinant.
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