Find the determinant of the matrix [74]
[98]
For singular matrix the determinant is the number inside the matrix itself.
So, for [74] the determinant is 74 and for [98] the determinant is 98.
112. Find the determinant of the matrix below 2 -4
Problem 8. a) Find the determinant det (A) for the matrix [1 -3 41 A 2 0 -1 1 b) Decide whether the matrix A has an inverse. If the inverse matrix A-1 exists, find its determinant det(A-1).
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]
Use the fact that cA| = |A to evaluate the determinant of the nxn matrix. A= - [1 12 15 3 -9 STEP 1: Factor out the greatest common divisor. 12 15 3 -9 = STEP 2: Find the determinant of the matrix found in Step 1. STEP 3: Find the determinant of the original matrix.
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 /
Please complete 1 through 5
1. Find the determinant of the given matrix. 2. Find all t such that -2 t-2 3. Solve the given system by Cramer rule. 4. Solve the given system by Cramer rule. 5. Find the determinant of the given matrix by expansion across column 3. D 2 3 -2
Question 19 [10 points] If the determinant of the first matrix below is as given, find the determinant of the other matrix. a b c det r s t 5 x y z 2x 2y 2z a+2x b+2y c+2z Official Time: 22:24:28 SUBMIT AND MARK
(1 point) Find the determinant of the matrix A= -9 1-8 3 | det(A) =
Find the determinant of the following matrix as a formula in terms of x and y. Remember to use the correct syntax for a formula: (101) y 01 2 x 1) xy-x
Consider the following hermitian matrix: a) Calculate the trace and the determinant of this matrix. b) Find the eigenvalues and compare their product and sum to the determinant and trace respectively. (It is a general result for any matrix that can be diagonalized, that the trace of a matrix is equal to the sum of its eigenvalue:s and that the determinant of a diagonalizable matrix is equal to the product of its eigenvalues. If these conditions are satisfied, you can...