Answered: [1 3 1] A = 0 2 2 [2 1 1]

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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Question

Hi, could I get some help in understanding a Linear Algebra question involving the use of row operations to reduce a matrix to "upper triangular form" and find the original matrix?

I have attached the work I did, but it seems it was not correct, I'm not sure why. Clear guidance on steps would be much appreciated.

Thank you

2 R₁ R₂
вытку,
(23) Re tRg
(5) Ry, the
R3-R₁
(f) az
3 R₂ - R₁
(1x2)
(x2) (3x2) (1×2)) 13
2.
I
2
3
[(0-2)
(0x²) (-5x ²) (-1x²)
2
2
܀
2
[coi
I 3
-5
D
(0x5) (0x) (²x))
0
I
(0x3)
O
(
3
(-) (†)
3
O
(1X3) (0x3)
O
[
* det (A) = (-1) (F) (-3) = 8
022
0-5-1
131
0-5-1
100
[3
0-50
(001)
130
-(;;)
100
[]
01 0
o ol

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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