Consider the following system of linear equations.
x-3y=-5
y+3z=-1
2x-10y+...
Mathematics, 06.12.2021 01:00 jolayemihazeez97
Consider the following system of linear equations.
x-3y=-5
y+3z=-1
2x-10y+2z=-20
i. Write the system in the form A . (1 mark)
ii. Find the inverse of A using the Gauss-Jordan elimination. (4 marks)
iii. Evaluate det(A) using co-factor method. (2 marks)
iv. Find the inverse of A using the determinant and the adjoint of A, i. e.,
A-¹ = -
(A)
Check that your answer coincides with your answer in part (ii). (4 marks)
v. Find the
-factorization of A. (4 marks)
vi. Solve the system using the
-factorization method. (3 marks)
vii. Solve the system using Cramer's Rule. Check that your answer coincides with your answer in part (vi). (5 marks)
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