117 6) Compute the values of determinants using the cofactor expansion. At each step, choose a...
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 5 0 0 5 4 8 3 - 7 (Simplify your answer.) O 3 0 0 9 2 1 7
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 100 5 3 7 3 - 8 200 0 5 3 1 4 1 0 0 3 7 3 200 8 (Simplify your answer.) 5 3 1 4
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation 300 5 4 7 3 - 4 200 0 6 3 1 7 5 300 4 7 3 -4 = (Simplify your answer.) 200 0 6 3 1 7
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 50 -8 4 -6 0 0 3 0 0 ܗ 6 3 -6 -9 4 0 5 4 -4 0 0 7 -2 4 5 0 -8 4 O 0 0 3 O 6 3 -6 5 -9 = (Simplify your answer.) 4 0 5 4 -4 00 7 -2 4
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves the least amount of computation. 5 2 2 40 3 0-4 1 0 4 - 8 34 1 3 0 0 0 0 9 3 4 30 5 2 24 0 3 0-4 1 0 4 - 8 3 4 1 = 3 0 000 9 3 4 30 (Simplify your answer.)
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
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...
(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
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...
Let A be an n×n matrix. Mark each statement as true or false. Justify each answer. a. An n×n determinant is defined by determinants of (n−1)×(n−1) submatrices. b. The (i,j)-cofactor of a matrix A is the matrix obtained by deleting from A its I’th row and j’th column. a. Choose the correct answer below. A. The statement is false. Although determinants of (n−1)×(n−1)submatrices can be used to find n×n determinants,they are not involved in the definition of n×n determinants. B....