1. Use the cofactor expansion formula to calculate the determinant of the following matrix. 1-2 5...
5. (10 points) Find the determinant of the given matrix A by using cofactor expansion. Then find the determinant of A. 1 2 A= | -2 3 3 -5 5 1 7 0 /
Compute the determinant of the following matrix using a cofactor expansion across the first row. 6 2 - 2 A= 50 35 4 0 N Compute the determinant using a cofactor expansion across the first row. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer.) OA. Using this expansion, the determinant is (6)(-30) - (2)(2)+(-2)(25)= OB. Using this expansion, the determinant is (6)(-30)+(5)(2)+(3)(25) = OC. Using this expansion, the determinant is...
Compute the determinant of the matrix by cofactor expansion 3 2 5 1 1 4 3 3 4 O A. 110 O B. -56 C. ?D.-8
a)Use row reduction and/or cofactor expansion to calculate the determinant of c) Calculate the following determinants, using your answer to part a det(A^−1 ) det(2A) det(A^2 ) det(A^T A) 3 3 3 -1 2 2 A= 1 9 6 2 2 2 4 2
(12 points) Evaluate the determinant of the matrix D using cofactor expansion down the second column, then find det(3D) and det((2D)-1). D = [ 1 -5 301 3 0 4 3 -1 0 -3 0 I 3 8 6 2
Calculate the determinant using cofactor expansion along any row or column. 1 0 3 1 1 1 -3 3 1 1 2 2 6 0 (a) 2 0 6 (b) -4 -2 -5 -1 0 -3 1 1 -1 5 2 2 5 4 1 12 0
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 5 90 3 5 2 0 748 6 5 2 5 3 The determinant is (Simplify your answer.)
Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special formula for 3 x 3 determinants. [Note: Finding the characteristic polynomial of a 3 x 3 matrix is not easy to do with just row operations, because the variable is involved.] 4 0 | 4 8 1 -2 2 0 -3 The characteristic polynomial is (Type an expression using , as the variable.) Find the characteristic polynomial of the matrix, using either a cofactor expansion...
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A using cofactor expansion of row 3. (ii) Is A invertible? If so, give the third column of A1 (you do not have to simplify any fractions) (b) Let B be the matrix 0 0 4 0 2 8 0 4 2 1 0 0 0 7 Use row operations to find the determinant of B. Make...
Combine the methods of row reduction and cofactor expansion to compute the determinant. −1 −5 −4 −1 0 4 8 0 −3 −5 −4 −1 6 −5 −5 0