3. Find the determinant (-1) (1) (e) (-1) (2) (j + 1) (1) (2j) of the matrix below. (1) (ej²π) (-2) (2+j) (1) (-1) (1) (1)

Q: 1. Use Gauss Elimination to solve the determinants for the following: 2x, + x2 - x3 = 1 5x1 + 2x2 +…

A: 1.  The given equations are, Converting given equations into matrix form

Q: If A = 6. B= [-3 , 2] and C = what is the %3D 3 -2 determinant of (AB – 2C)" ? |

A: Given that  The matrices  To find the (AB-2C)^T

Q: Find the determinant of S = [321 3 2 0 1 -2 310 1 023 2

A: Matrix given is,

Q: Evaluate the determinant of each of the following matrices by expanding along the second column and…

A:

Q: 15) Using the properties of determinants or otherwise, show that 1 a² + a²³ 1 a+a²³=0. 1 a a² a³…

A:

Q: 3. Let D, E and F be 4x4 matrices such that det (D) = 2, det (E)= 3, and det (F) = 4. Calculate the…

A: According to bartleby guidelines we do only first three subparts and rest part can be reposted…

Q: Find the determinant of the matrix [2 4 11 385 16 2 41

A: here we have to calculate the determinant of the matrix…

Q: 12.) Find the determinant of A= -2 3 1 57 -1 2 0 4 1 0 TN -2 1 3 -3 4 Show your work.

A:

Q: What is the cofactor of the entry a3,1 of the given determinant ? 3 -2 1 A = |-1 2 -4 -3 5 A. To

A: D)  option D is correct.

Q: 2. Use the elimination 2 -3 2 1 -3 2 131 method to evaluate the following determinant. 2 1 -1 -4 23

A: we have to find determinant.

Q: 1. Find the determinant for -6 4 1 -3" a) E = b) F =| -5 2 -2 5

A: (a) Given matrix is E=−64−52 We have to find the determinant of E=−64−52 detE=−62−−54=−12+20=8…

Q: Evaluate the determinant of the following 2 x 2 matrices. "( ) (a) (4 (b) 3 3 8 -1+ 3i\ 3 — і 4i (c)…

A: Given:

Q: 3. Let D, E and F be 4×4 matrices such that det(D) = 2, det(E) = 3, and det(F) = 4. Calculate the…

A: according to bartleby guide line we do only first three parts of multiple questions (3)  given D,E…

Q: Find the determinants of the given matrice A= (9) A = 9 1.

A:

Q: For the set of equations 2x2 + 5x3 = 9 2X1 + X2 + x3 =9 3x1 + x₂ = 10 (a) Compute the determinant.…

A: The given system of equations,To find the solution of the system using the Cramer's rule.

Q: 3 3 A = 4 5 A. What is the determinant of A? B. What is the inverse of A? C. Use A-1 to find the…

A:

Q: 1. (10 pts.) Compute the determinant of 2 0 0 0 -3 2 2 1 4 0 -3 -2 3 3 0 -1 0 0 6 0 -1 0

A: We will expand along that row in which there is only one non zero entry

Q: 4. Find the determinant by expanding 3 01 1 1 2 2 -1 3 0 (a) on the first row (b) on the second row…

A:

Q: G2. Show how to compute the determinant of the matrix -4 -1 6 A = -1 -2 6 5 -1 -1 -5 -3

A: To find the determinant of the given matrix A