5. (10 points) Find the determinant of the given matrix A by using cofactor expansion. Then...
(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
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...
1. Use the cofactor expansion formula to calculate the determinant of the following matrix. 1-2 5 2 0 0 0 2 -6 -7 5 5 0 4 4 درا
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
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...
8. Find the determinant of the following matrices using a minimal cofactor expansion. Do not manipulate the rows A=0 0 0 31 2 5 -3 0 - 9. Determine for what values of s, the following system has solutions for. Use Cramer's rule to determine what the solutions would look like in terms of s 3sx +y = 6 100x + 12sy = -8 10. (a) Use a determinant to find the area of the parallelogram S with vertices at...
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...
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.)
1 2 3 4. (10 pts) Evaluate the determinant of 2 5 3 by (a) cofactor expansion about 1 0 8 column 1 and (b) cofactor expansion about row 3.
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