B: Calculate the determinant of the following matrix by using row reduction to produce an upper...
Please show all steps clearly. 3. Find the determinant of A using row reduction to an echelon form. Show at least two row equivalent reduced matrices and give the determinant of your final echelon form. 2 3 4 A = 1 3 -2 15 0 -1)
Reduce the following 4x4 determinant to upper triangular form and then find the determinant. 1 0 -1 3 2 2 0 0 1 0 4 -1 0 1 -5 1
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...
6. Find the determinant of the following matrix using elementary row operations. (Turn the elements above the main diagonal into zeros to have the least amount of calculations.) (10 points) -1 -9 0 -2 -4 -2 -2 4 3 -1 -1 4 3 2 1
Find the determinant of the matrix by using a row/column with the most zeros to simplify your work. Show your work! 1 25 2 10. 2 -4-3 5 2 03 5
Q4. Find the determinant of the following matrix A by hand. You may use properties of determinants or reduction to reduced row echelon form to minimize the calculations: A= [1 0 12 -1 5 1 - 1 1 1 -1 3 0 0 1
[10] 3. By using only row echelon operations compute the determinant of the matrix 10 25 - 15 A=| 1 2 4 8 12-16
Use row-reduction to put the following matrix to reduced row echelon form. 1 5 4 2 1 2 0 0 3 0 Show each step.
Question 3 Use row-reduction to put the following matrix to reduced row echelon form. 5 1 1 7 4 2 1 2 0 0 3 0 Show each step.