Let A be a 3 x 3 matrix with determinant equal to 4. 4 -8 If the adjoint of A is equal to 12 -4 8 then A-1 is equal to -41 8 [1 -2 3 -1 [2 [1 -2 6 -2 [4 4 -1. -2] the above matrix O the above matrix [2 -4 6. -2 4 [4 -2 None of the mentioned O the above matrix

Q: 6. Find the determinant of the 4x 4 matrix showing details of your work. 0 4 -1 -4 3 -2 1 -3 1 -5 2…

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

A: The following steps are used to evaluate the determinant of the 4×4 matrix by diagonal method. Use…

Q: Determine the determinant of the matrix. 7 -6 3 -27 -6 4 –1 A = -1 8 9 5 2.

A:

Q: Use the procedure illustrated in this example to evaluate the determinant of the given matrix. 1 4 2…

A: 1143260-11

Q: How many permutations of (1, 2, 3, 4) are even and what are they? Extra credit: What are all the…

A: Permutation: The even permutation are (1,2,3,4) The permutation , (1,2,3,4) (1,4,2,3) (2,3,1,4)…

Q: Find the determinant by row reduction to echelon form. 1 3 1 2 1 -2 5 - 1 2 - 11 6 3 -1 -2 4 Use row…

A:

Q: You need to provide details/explanations of your solutions, indicate any formulas you are using, and…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the fact that ∣cA∣ = cn∣A∣ to evaluate the determinant of the n × n matrix.

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Q: Find the determinant of the matrix by (a) minors and cofactors and (b) reducing the matrix to a…

A: We have to find the determinate .

Q: g matrices using Pivotal method [2 3 7 9 3 B = 1 8 -5 2 6 -4 5 5 -6. 9 on

A: The given matrix is  B= 2 3 7 9      3 1 8 0     -5 2 3 5      6 -4 5 -6.

Q: if the determinant of the first matrix below is as given, find the determinant of the other matrix.…

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Q: Find the determinant by row reduction to echelon form. 1 3-2-4 01-25 -1 1 2-8 6 4 -2 -3 3

A: 1. Row echelon form

Q: Compute the determinants of the follow- ing matrices. 3 2

A: The solution is given as follows :

Q: Compute the determinant of the matrix. Show all your work including which row operations and…

A: To find the determinant of the matrix we will use the row operations and cofactor expansions.Note:…

Q: Find the determinant by row reduction to echelon form. 1 -1 6 - 2 1 - 4 6 - 1 7 7 3 -3 27 Use row…

A: To find the determinant of the given matrix.

Q: If a 4 x 4 matrix A with rows ₁, ₂, 3, and 4 has determinant det A=-5, 601 +7 4 then det V2 V3 401…

A: Given : det6v1+7v4v2v34v1+4v4

Q: [1 2 3] A = 4 5 306 [9 6 7 [14] B = 8 6 [62]

A: To compute the determinants of the matrices A and B. A=123450967B=148662

Q: Determine the inverse of the matrix X by determinants. 6 2 - 1 X = x, represents ith row and jth…

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Q: Use the fact that |CA| = |A to evaluate the determinant of the nxn matrix. 12 18 A = [ ¹² 6-24 STEP…

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Q: = 1³ Let A = [3 -5 8 -6 Then AB = -4] -3 I 8 and B = -57 3 -8 3 7 -8

A: We have to find out the product of the matrices and also their determinant.

Q: Find the determinant by row reduction to echelon form. 1 -1 9 6 0 1 -7 3 - 1 0 - 8 4 4 -4 30 0 Use…

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A: The determinant is a number (real or complex) associated with a square matrix.