Please complete 1 through 5 1. Find the determinant of the given matrix. 2. Find all...
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 /
a) IAI 2. Use expansion by cofactors to find the determinant of the matrix. A-4 5 0(ln your solution, state the row or column that you are expanding)
Use expansion by cofactors to find the determinant of the matrix. - 3 4 -1 13 1 2 | -1 4 2 Use expansion by cofactors to find the determinant of the matrix. [65 31 0 4 1 00-3]
need help with e f and g please 2x2 + x3 0 (1 pts) write the linear system in the format, A x = b (2 pts) Find the determinant of the matrix A by using an expansion along row 1 (2 pts) Find the determinant of the matrix A by using an expansion along column 2 Compare the result with that of (b). Based on your result of b and/or c is matrix A singular or invertible (2 pts)...
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 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 following matrix by expansion through second row. 1 1 3 5 8 11 10 1
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
Question 1: Given the following matrix A. 02 A- 1 2 3 2 (a) Find the determinant of A (b) Find eigenvalues and the corresponding eigenspaces of A (c) Determine whether A is diagonalizable. If so, find a matrix P and a diagonal matrix D such that P-1AP=D If not, justify your answer. (d) Find a basis of Im(A) and find the rank of Im(A) (e) Find a basis of Ker(A) and find the rank of Ker(A) Question 1: Given...
(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