n2 (n+ 1)2 (n+2)²] Let n be a positive integer. Let A, be the 3 x 3 matrix (n+1)² (n+2)² (n + 3)² |(n+2)² (n+3)² (n+4)²] 3. Show that the determinant of A, is –8. The whole point of Problem 3 is to show that you get the same answer no matter which n you use, expand all the quadratics inside the matrix, then use row operations to simplify the entries.
n2 (n+ 1)2 (n+2)²] Let n be a positive integer. Let A, be the 3 x 3 matrix (n+1)² (n+2)² (n + 3)² |(n+2)² (n+3)² (n+4)²] 3. Show that the determinant of A, is –8. The whole point of Problem 3 is to show that you get the same answer no matter which n you use, expand all the quadratics inside the matrix, then use row operations to simplify the entries.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(n + 1)2 (n + 2)²1
Let n be a positive integer. Let A, be the 3 x 3 matrix (n + 1)? (n+ 2)? (n+ 3)2
(п +2)? (п+3)2 (п+4)2
n2
3.
Show that the determinant of A, is –8.
The whole point of Problem 3 is to show that you get the same answer no matter which n you use,
expand all the quadratics inside the matrix,
then use row operations to simplify the entries.
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