(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)
Use Gauss elimination, compute the determinant of the matrix o 0 2 0-1 4 4 5 1 2 0 0 7 2 5 -1 5 6 5 0 -1 5 0 4 8
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...
Find the determinant of each matrix: 3 2 A. 1 4 B. -3 2 51 1 4 0 -1 2. 6] 22 2 2 1 C. -4 2. T 0 -9 0 0 2 0 0 0 2. 8. D. 7 | 09 1 0 -4 -36 0 5
Evaluate the determinant. -1 -5 0 5 -1 0 0 -3 - 7 -6 1 3 4 0 0 2 The value of the determinant is T.
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
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
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]
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) = a1 · |A1| + a2 · |A2| + az · |A3|, where a1 = num @ az = numi @ a3 = num @ and A2 = Thus det(A) = num
13. Let A=0 2 3] 1 4 the determinant of the matrix A is: 5 02 B)-15 C) 20 A) 15 D)-20 - 2 on the interval [1. 31. Using the Mean Value 14. Consider the function f(x) = Theorem we can conclude: A) The graph of the function has a tangent line between 1 and 3 with slope B) The graph of the function has a tangent line between 1 and 3 with slope C) The function has a...