# determinant

1. ### Calculate a determinant

How could i calculate determinant this matrix. if it doesn't have exact dimension
2. ### determinant of symmetric matrix of size (n+1)(n+1)

Let for j = 0,. . . n aj = a0 + jd, where a0, d are fixed real numbers. Calculate the determinant of the matrix A of size (n + 1) Ã— (n + 1)
3. ### Calculate the determinant of the matrix

Let for j = 0,. . ., n aj = a0 + jd, where a0 and d are fixed real numbers. Calculate the determinant of the matrix A of size (n + 1) Ã— (n + 1). Matrix A is below
4. ### Determinant of the conjugate matrix

I'm proving that |detA|=1 if A is unitary matrix. I got to the point where det(A*)det(A)=1. I know that det(A*)=det(A) conjugated (because determinant is polynomial with real coefficients), but I don't know how to precisely say that. Is there a simple way to prove that?
5. ### Negative determinant is positive?

Hello, I am looking at this question. "Determine a general form of the equation of the plane through each of the following sets of three points" P1(1,-2,3) P2(1,0,2) P3(-1,4,6) This seems simple enough. I get this matrix Figuring out the determinants for each will get me 12,-2,4 So...
6. ### Best way to calculate a 5x5 determinant?

I have this 5Ã—5 matrix A=\begin{bmatrix} 1 & 2 & 3 & 4 & 5\\ 4 & 3 & 4 & 0 & 0\\ 8 & 6 & 7 & 2 & 0\\ 12 & 9 & 10 & 3 & 0\\ 16 & 12 & 13 & 4 & 0 \end{bmatrix} and I inquire: What would be the "best" way to solve it? (faster, easier). From what I see in most examples on the internet, they...
7. ### double integral with Jacobian determinant

Suppose we want to integrate f(x, y) = x + y over the diamond U with boundary lines y = x + 1, y = x - 1, y = -x + 1 and y = -x - 1 Fill in the three blank spaces below (two bounds and the integrand) to write the integral of f(x, y) = x + y as an integral in u and v: Using substitution x =...

16. ### determinant n by n matrix

A n by n matrix A is given by that the (kth row, lth collumn) entry =k+l. What is the determinant of this matrix? How to tackle this problem? I know how to do it for a specific n but how to do it leaving n as a variable for n= 3 I would get a matrix like below. (1+1) (1+2) (1+3) (2+1)...
17. ### Determinant of a matrix

See this videos; Determinant of order 3: https://www.youtube.com/watch?v=J4axr4_Ddao Determinant of order 2: https://www.youtube.com/watch?v=5fwBUaKYYrQ Determinant of order 1: https://www.youtube.com/watch?v=Kl9gWbhGbD0
18. ### Calculate determinant

Hello, When i used green ellipse for calculate determinant, i have difference answer till when i used red ellipse. Why ? :eek:
19. ### Need help (determinant with a parameter)

hello all . I have Question about the determinant and linearly dependent and it's : Let : a) Find det(B) in terms of k; b) For what value(s) of k are the column vectors of B linearly dependent; c) For k = 0, find det(B) and . can some one help me in this question and...
20. ### Find determinant and linearly dependent

hello all . I have Question about the determinant and linearly dependent and it's : Let : a) Find det(B) in terms of k; b) For what value(s) of k are the column vectors of B linearly dependent; c) For k = 0, find det(B) and . can some one help me in this question and...