Given that A is the matrix 5-3 1 1-5 7 6 3 –77 -4 -5] The...

Question

Question

Given that A is the matrix 5-3 1 1-5 7 6 3 –77 -4 -5] The cofactor expansion of the determinant of A along column 1 is: det(A

Answer 1

Answer #1

[-3. 7-7 7 SO) 6 - det (A) = ? L-5 3 -5 abc ref] det d e f = a.det hit. b. 6.9 hin c 6. 4 3 -5 - 6-9) des[:-**] -> [s:*]-, de

Answer 2

Similar Homework Help Questions

6. (5 points) Suppose the elementary matrix E is of this form (a) Compute the matrix...

6. (5 points) Suppose the elementary matrix E is of this form (a) Compute the matrix multiplication EB (b) Compute the determinant of EB using the cofactor expansion along the 1st row of the matrix, and show that the determinant is equal to -det(B) (MUST use the cofactor expansion, no points will be given for other meth- ods.) Hint: Same, don't expand everything out, you will be drown in a sea of bij, you should look at the cofactor expansion...
Determinants and linear transformations 4. (a) Let A be the matrix 1 -2 4 1 3 2 11 i) Calculate the determinant of A us...

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...
(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7...

(1 point) Compute the determinant of the matrix -1 -2 -4 -6 -7 -7 7 7 A= 0 0 0 0 -4 -5 7 det(A) (1 point) Find the determinant of the matrix 6 A- 6 -9 -7 det(A) (1 point) Find the determinant of the matrix 2 2 -2 B= 1 -1 2 3 -2 det (B)

(12 points) Evaluate the determinant of the matrix D using cofactor expansion down the second column,...

(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
These are linear algebra problems. 1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is in...

These are linear algebra problems. 1 4 1 1 2 7 2 2 Let A 1 4 .. 1 2 find Its Inverse. Decide whether the matrix A is invertible, and if so, use the adjoint method Enter as a matrix, exactly in fractional from if required, if not invertible enter "NA" A-1 la b -2a -2b -2c d e f d = -2,find Given that g hi g-3d h-3e -3f -2a -2b -2c d f g 3d h 3e...
Let A be an n×n matrix. Mark each statement as true or false. Justify each answer. a. An n×n determinant is define...

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....

5. (10 points) Find the determinant of the given matrix A by using cofactor expansion. Then...

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 /
Suppose that 4 3 -225 3 3 -3 2 6 -2 -2 2-1 5 In the following questions you may use the fact that the matrix B is row-e...

Suppose that 4 3 -225 3 3 -3 2 6 -2 -2 2-1 5 In the following questions you may use the fact that the matrix B is row-equivalent to A, where 1 0 1 0 1 0 1 -2 0 5 0 0 01 3 (a) Find: the rank of A the dimension of the nullspace of A (b) Find a basis for the nullspace of A. Enter each vector in the form [x1, x2, ...]; and enter your...
Compute the determinant of the matrix by cofactor expansion 3 2 5 1 1 4 3...

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