1 2 3 4. (10 pts) Evaluate the determinant of 2 5 3 by (a) cofactor...
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
(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
3 seperate questions multiple choice Evaluate the determinant by using a cofactor expansion along any row or column. -5 5 -5 3 0-1 2-2 0 3 0 0 0 -3 4 1 0 150 0-150 0-30 Find the eigenvalues of the given matrix. 2 3 O 1, 2 O 1, -2 -2 1 1 Row reduce the matrix to obtain a row equivalent matrix. 4 -2 31 -3 -11 9-5 1-2 3 4 3 [1 4 -2 3 0 1...
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
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
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
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...
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.)
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 -5-4-1 The determinant is (Simplify your answer.)