If each of u ,v ,w a function of variables x,y,z then the jacobian δ(u,v,w)/ δ(x,y,z) is determinant of order............
Answers
If each of u ,v ,w a function of variables x , y , z then the jacobian δ(u,v,w)/ δ(x,y,z) is determinant of order 3
Given :
Each of u , v , w a function of variables x , y , z
To find :
The order of the determinant for the jacobian δ(u,v,w)/ δ(x,y,z)
Solution :
Step 1 of 2 :
Define Jacobian
Here each of u ,v ,w a function of variables x , y , z
Then the Jacobian is defined as below
Step 2 of 2 :
Find order of the determinant for the jacobian
We see that for the above Jacobian
Number of rows = 3
Number of columns = 3
Hence order of the determinant for the jacobian δ(u,v,w)/ δ(x,y,z) is 3
━━━━━━━━━━━━━━━━
Learn more from Brainly :-
A is a square matrix of order 3 having a row of zeros, then the determinant of A is
https://brainly.in/question/28455441
2. If [1 2 3] B = [34], then the order of the matrix B is
https://brainly.in/question/9030091