I'm confused by the term homogenous in linear algebra. Being homogenous means to have the matrix = 0 and if its homogenous, it can either have infinite solutions or a unique. No solutions is impossible but how? 1 O 0 = 1= Here we're basically saying 1 = 0 which isn't true. which would mean it's inconsistent which would mean no solution. Can someone explain please? Do we imagine theres an x infront of the 1 which would make it x=0 which could be true? If the table looked like the below id understand because this is non homogenous system and non homogenous systems can have no solution as O does not equal 1. 00=1 00=1 O O
I'm confused by the term homogenous in linear algebra. Being homogenous means to have the matrix = 0 and if its homogenous, it can either have infinite solutions or a unique. No solutions is impossible but how? 1 O 0 = 1= Here we're basically saying 1 = 0 which isn't true. which would mean it's inconsistent which would mean no solution. Can someone explain please? Do we imagine theres an x infront of the 1 which would make it x=0 which could be true? If the table looked like the below id understand because this is non homogenous system and non homogenous systems can have no solution as O does not equal 1. 00=1 00=1 O O
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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Plz explain briefly
![I'm confused by the term homogenous in
linear algebra. Being homogenous means to
have the matrix = 0 and if its homogenous, it
can either have infinite solutions or a unique.
No solutions is impossible but how?
1
O
0 =
1=
Here we're basically saying 1 = 0 which isn't
true. which would mean it's inconsistent
which would mean no solution. Can someone
explain please? Do we imagine theres an x
infront of the 1 which would make it x=0
which could be true?
00=1
00=1
If the table looked like the below id
understand because this is non homogenous
system and non homogenous systems can
have no solution as 0 does not equal 1.
O
O](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9986c2f5-e554-435f-b86a-a2dc1ea03a54%2F1c31a6e2-8962-453a-aad5-5da44459fc6e%2F47qka87_processed.jpeg&w=3840&q=75)
Transcribed Image Text:I'm confused by the term homogenous in
linear algebra. Being homogenous means to
have the matrix = 0 and if its homogenous, it
can either have infinite solutions or a unique.
No solutions is impossible but how?
1
O
0 =
1=
Here we're basically saying 1 = 0 which isn't
true. which would mean it's inconsistent
which would mean no solution. Can someone
explain please? Do we imagine theres an x
infront of the 1 which would make it x=0
which could be true?
00=1
00=1
If the table looked like the below id
understand because this is non homogenous
system and non homogenous systems can
have no solution as 0 does not equal 1.
O
O
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