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Example: Compute the determinant of the matrix -4 -2 4 4 1 1 -1 1 -5 7 4 -2 -1 -4 -2 1 1 2 by using a combination of elementary row/column operations and cofactor expansion. 5 2.

Example: Compute the determinant of the matrix -4 -2 4 4 1 1 -1 1 -5 7 4 -2 -1 -4 -2 1 1 2 by using a combination of elementary row/column operations and cofactor expansion. 5 2.

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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det (GR) R2 – 2 R1 det R3 + 2 R1 R4 – 3 R1 expand det along along C1, expand det along R2 || ||
Transcribed Image Text:det (GR) R2 – 2 R1 det R3 + 2 R1 R4 – 3 R1 expand det along along C1, expand det along R2 || ||
Example: Compute the determinant of the matrix -4 -2 4 4 1 1 -1 1 -5 2 7 4 -2 2 -1 -4 -2 3 1 1 2 by using a combination of elementary row/column operations and cofactor expansion. 4 2 -2 4 4 1 1 -1 1 det -5 2 7 4 -2 -1 -4 -2 3 1 1 (Ci + C5) det = (replace C1) expand det = along C1
Transcribed Image Text:Example: Compute the determinant of the matrix -4 -2 4 4 1 1 -1 1 -5 2 7 4 -2 2 -1 -4 -2 3 1 1 2 by using a combination of elementary row/column operations and cofactor expansion. 4 2 -2 4 4 1 1 -1 1 det -5 2 7 4 -2 -1 -4 -2 3 1 1 (Ci + C5) det = (replace C1) expand det = along C1
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