Algebra 2

posted by .

What is the determinant of -2 -3
5 0


How you get 15

Use the definition of a determinant. From the first column you take take the element that is in the position of a permutation of 1, from the second you take the element that is in the position given by the permutation of 2. Multiply the result by the sign of the permutation and then sum over all possible permutations.

In this case the identity permutation yields zero, while the permutation that interchanges the numbers 1 and 2 yields -15. The sign of that permutation is minus one, so the result is 15.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. economics

    Any non-price determinant will have an effect on demand. I really don't know how computer engineers could increase the interest in pc's, but it's not a price determinant and it increases demand. I'm not really sure what the effect …
  2. algebra-det.

    a) Suppose that B is an n ¡Á n matrix, and k is a scalar. Give a formula for det (kB) in terms of det B . b) Show that your formula from (a) is true for all n and for any k. det (kB) = k^n det B This is because the determinant is …
  3. Algebra

    Can you tell me if these are correct? I am not sure that I understand this. 1. Which is the solution for the determinant?
  4. math

    I need help with this problem: finding the instantaneous rate of change of y with respect to x at the point x=5 if y=x^2/2+3/5x-1 I know I am suppose to find the determinant first then plug in 5...but I am not sure about the determinant
  5. algebra

    1 A + (B + C)= (A + B) + C associative scalar quantity dot product 2 2 2 3 Two systems of linear equations involving the same variables are said to be _______ if they have the same solution set. set associative equivalent parallel …
  6. Algebra

    I have to compute the determinant of the matrix without using a calculator. If the determinant is zero, write singular matrix. 1 -1 -1 -4 2 0 0 3 1
  7. Linear Algebra

    Suppose C and D and 5x5 matrices and det(C)=5, det(D)=6. Compute the determinant of the matrix 3C^T (4CD)^-1 C^2. Justify your answer by stating explicitly which calculation rules for the determinant you use.
  8. Maths

    Question(1):Show that the curve y=x^2-3x-5 passes through the point (5,5),(4,-1),(2,-7),(0,-5) and (-t,5) calculate the gradient at each pont. question(2):given a 5by5 matrices with determinant equal zero and the same determinant of …
  9. Algebra 2

    1. What is the determinant of the matrix?
  10. Math

    What is the determinant of a square matrix whose entry or element is digit or number. For example (100). Please tell me method of finding the determinant of this matrix.

More Similar Questions