Need some help in Linear Algebra For each of the following systems describe for which value of a and 3 the systemadmits one solution, infinite solutions or no solution. If the system has infinitesolutions, state how many variables are free.x1 – 2x2 – x3 = 0|3DAx2 + 5x3 = 3(1)xi + 3x2 + 6x336X14.x2 + x3 + XX4 =0|xi + x2 – Bax3 – x4 =2(2)|xi – 2x2 + x4 = 5

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Description: Need some help in Linear Algebra For each of the following systems describe for which value of a and 3 the systemadmits one solution, infinite solutions or no solution. If the system has infinitesolutions, state how many variables are free.x1 – 2x2 –

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Answered: For each of the following systems…

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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Need some help in Linear Algebra

For each of the following systems describe for which value of a and 3 the system
admits one solution, infinite solutions or no solution. If the system has infinite
solutions, state how many variables are free.
x1 – 2x2 – x3 = 0
|3D
Ax2 + 5x3 = 3
(1)
xi + 3x2 + 6x3
36
X1
4.x2 + x3 + XX4 =
0
|
xi + x2 – Bax3 – x4 =
2
(2)
|
xi – 2x2 + x4 = 5

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.

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