Linear algebra please solve last part correctly In Exercises 42-49, the given matrix is the augmentedmatrix for a system of linear equations. Give the vectorform for the general solution.42. 1 0 -1 -2 0[43.44.45.46.47.48.49.01010010010101 2 3 00-1 -212 30-1 01 2 0 10 0 1 10-1001 2 0 10001 1 0-]0-1 -2 -3 11 2 3 4 001-2-3 01 2 3 4 010-10 1 2 0000 1 11 -10000 -1 -202000-2 0 000011 2 0 00]

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Answered: In Exercises 42-49, the given matrix is…

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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Linear algebra please solve last part correctly

In Exercises 42-49, the given matrix is the augmented
matrix for a system of linear equations. Give the vector
form for the general solution.
42. 1 0 -1 -2 0
[
43.
44.
45.
46.
47.
48.
49.
0
1
0
1
0
0
1
0
0
1
0
1
0
1 2 3 0
0-1 -2
12 3
0-1 0
1 2 0 1
0 0 1 1
0-1
0
0
1 2 0 10
001 1 0
-
]
0-1 -2 -3 1
1 2 3 4 0
01-2
-3 0
1 2 3 4 0
1
0-1
0 1 2 0
000 1 1
1 -1
0
0
0
0 -1 -2
0
20
0
0-2 0 0
0001
1 2 0 0
0
]

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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