1 3 A = 1 3 4 1 4 3

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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Question
determine the inverse of the matrix A
3
A =
1
3
4
1
4
3
Transcribed Image Text:3 A = 1 3 4 1 4 3
Expert Solution
Step 1

The inverse matrix is the adjugate matrix divided by the determinant of the matrix. The adjugate of a square matrix is the transpose of its cofactor matrix.

Let B be a 3×3 matrix defined as B=abcdefghi . Then the determinant of B is calculated using the formula: 

abcdefghi=aei-fh-bdi-fg+cdh-eg

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