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3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse of a 2 x 2 matrix, find the inverse of the matrix 24 - (²3) 4 5 And then, use A-¹ to find the unique solution of the linear system above. A = (b) Solve the above linear system using Cramer's rule instead.

3. Consider the linear system 2x1 + 4x2 -12, 4x1 + 5x2 = 24. = (a) Using the formula for the inverse of a 2 x 2 matrix, find the inverse of the matrix 24 - (²3) 4 5 And then, use A-¹ to find the unique solution of the linear system above. A = (b) Solve the above linear system using Cramer's rule instead.

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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solve part a and b

3. Consider the linear system 2x1 + 4x2 = 4x1 + 5x2 -12, = 24. (a) Using the formula for the inverse of a 2 × 2 matrix, find the inverse of the matrix 4 ^-(²3) A 4 5 And then, use A-¹ to find unique solution the linear system (b) Solve the above linear system using Cramer's rule instead. ve.
Transcribed Image Text:3. Consider the linear system 2x1 + 4x2 = 4x1 + 5x2 -12, = 24. (a) Using the formula for the inverse of a 2 × 2 matrix, find the inverse of the matrix 4 ^-(²3) A 4 5 And then, use A-¹ to find unique solution the linear system (b) Solve the above linear system using Cramer's rule instead. ve.
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