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2. Compute the determinant of the following matrices. (a) 2 -1 2 5 -4 A= 3...
1 2 3 4. (10 pts) Evaluate the determinant of 2 5 3 by (a) cofactor...
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.
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A...
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
Combine the methods of row reduction and cofactor expansion to compute the determinant. −1 −5 −4 −1 0 4...
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
Compute the determinant of the following matrix using a cofactor expansion across the first row. 6...
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 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
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 -5-4-1 The...
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 -5-4-1 The determinant is (Simplify your answer.)
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 5 90...
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.)
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves...
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
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...
Compute the determinant by cofactor expansion. At each step, choose a row or column that involves...
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.)
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.
3. Let A 2 -30 1 0 -2 2 0 (i) Compute the determinant of A using the cofactor expansion technique along (a) row 1 and (b) column 3. (ii) In trying to find the inverse of A, applying four elementary row operations reduces the aug- mented matrix [A1] to -2 0 0 0 0 -2 2 1 3 0 1 0 1 0 -2 Continue with row reductions to obtain the augmented matrix [1|A-') and thus give the in-...
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 the matrix by cofactor expansion 3 2 5 1 1 4 3 3 4 O A. 110 O B. -56 C. ?D.-8
Combine the methods of row reduction and cofactor expansion to compute the determinant. -1 -5-4-1 The determinant is (Simplify your answer.)
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.)
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
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.)
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