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2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2b) Investigate the singularity of the matrix M = |4 3 2 13 2 1. 2c) Find SV4 – x² dx ) s' xe*dx and 2d) Using Cramer's rule, solve the system of equations below x + 2y + 3z = 17 3x + 2y + z = 11 x- 5y + z = -5

2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 31 2b) Investigate the singularity of the matrix M = |4 3 2 13 2 1. 2c) Find SV4 – x² dx ) s' xe*dx and 2d) Using Cramer's rule, solve the system of equations below x + 2y + 3z = 17 3x + 2y + z = 11 x- 5y + z = -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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2 il 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 3] 2b) Investigate the singularity of the matrix M = |4 13 2 1 SV4 – x² dx ) Só xe*dx 2c) Find and 2d) Using Cramer's rule, solve the system of equations below x + 2y + 3z = 17 3x + 2y +z = 11 x- 5y +z = -5
Transcribed Image Text:2 il 2a) Find the area of triangle PQR where P is (4, 2, 5), Q is (3, -1, 6) and R is (1, 4, 2) [1 2 3] 2b) Investigate the singularity of the matrix M = |4 13 2 1 SV4 – x² dx ) Só xe*dx 2c) Find and 2d) Using Cramer's rule, solve the system of equations below x + 2y + 3z = 17 3x + 2y +z = 11 x- 5y +z = -5
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