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- Using the definition only (no row reduction and triangular matrix shortcut), compute the determinant: 2 1 3 A 1 0 2 4 5

- Using the definition only (no row reduction and triangular matrix shortcut), compute the determinant: 2 1 3 A 1 0 2 4 5

Advanced Engineering Mathematics
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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The formal definition of the determinant of a square n × n matrix A with entries aij and submatrices Aij defined in the usual way is defined recursively as: for any fixed i € {1,2, ,n}. n det(A) = Σ(−1)²+¹ ai¡ det(Aij) Aij j=1
Transcribed Image Text:The formal definition of the determinant of a square n × n matrix A with entries aij and submatrices Aij defined in the usual way is defined recursively as: for any fixed i € {1,2, ,n}. n det(A) = Σ(−1)²+¹ ai¡ det(Aij) Aij j=1
1. Using the definition only (no row reduction and triangular matrix shortcut), compute the determinant: 2 1 3 102 1 5 4
Transcribed Image Text:1. Using the definition only (no row reduction and triangular matrix shortcut), compute the determinant: 2 1 3 102 1 5 4
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