MHB Determinant - Proof for distinct real numbers

Dethrone
Messages
716
Reaction score
0
View attachment 4292

I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?
 

Attachments

  • determinant 3.PNG
    determinant 3.PNG
    18.7 KB · Views: 112
Physics news on Phys.org
Rido12 said:
I was able to prove a), but I am unsure how to prove b. Is there some sort of geometric interpretation I should be aware of?

Hey Rido! ;)

One way is apply the property of a determinant that it is 0 iff its columns form a linear combination. (Thinking)
 
Thread 'Derivation of equations of stress tensor transformation'

Thread 'Derivation of equations of stress tensor transformation'

Hello ! I derived equations of stress tensor 2D transformation. Some details: I have plane ABCD in two cases (see top on the pic) and I know tensor components for case 1 only. Only plane ABCD rotate in two cases (top of the picture) but not coordinate system. Coordinate system rotates only on the bottom of picture. I want to obtain expression that connects tensor for case 1 and tensor for case 2. My attempt: Are these equations correct? Is there more easier expression for stress tensor...
View full post »

Similar threads

I Uniqueness of reduced row echelon form (proof verification)
Replies
4
Views
2K
I How to Prove a Congruence Relation for Prime Numbers?
Replies
17
Views
2K
MHB Is z + z¯ and z × z¯ Real for Any Complex Number z?
Replies
1
Views
1K
I Confused about small detail in rank-nullity theorem
Replies
1
Views
2K
I On base-b expansion of nonnegative reals
Replies
7
Views
2K
B Is it invalid to redefine the sgn function in this way in a proof?
Replies
15
Views
5K
I Proof by induction of block diagonal decomposition of a matrix
Replies
4
Views
1K
I Fundamental theorem of arithmetic from Jordan-Hölder theorem
Replies
5
Views
2K
I Why do the lines m and l coincide in the proof of the parallelogram rule?
Replies
4
Views
2K
B Inductive proof for multiplicative property of sdet
Replies
1
Views
1K

Hot Threads

Recent Insights

Back
Top