1. Consider the matrix A = the system Ax = 1 -3-3). 6 -6 12 -8 -3 10-6 (a) Using Gaussian elimination and backwards-substitution methods, determine the vector x that solves -() 1 Note that other methods of solving this system that do not use Gaussian elimination will not be awarded marks. (b) Determine the (real) constant c such that det(cA) = 1.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Consider the matrix
62
the system Ax
-6
A = 12 -8 -3
-6 -3/
10
(a) Using Gaussian elimination and backwards-substitution methods, determine the vector x that solves
(1)
Note that other methods of solving this system that do not use Gaussian elimination will not be
awarded marks.
(b) Determine the (real) constant c such that det(CA) = 1.
Transcribed Image Text:1. Consider the matrix 62 the system Ax -6 A = 12 -8 -3 -6 -3/ 10 (a) Using Gaussian elimination and backwards-substitution methods, determine the vector x that solves (1) Note that other methods of solving this system that do not use Gaussian elimination will not be awarded marks. (b) Determine the (real) constant c such that det(CA) = 1.
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