(a)Verify the property of determinant det(AB) = det(A).det(B) for [2 4=3 4 0 and B = 7 Lo o 2] 1 0] [1 -1 3 1 1 | [1 1 (b) Find inverse of the matrix 4=0 1 0 by Gauss -Jordan Method

Q: Find the determinant 0 0 0 2 0 -1 3 -1 0 0 det (M) = M -1 2 of the matrix 3 0 2 0

A:

Q: 2 1 0-2 -1 0 -1 1 2 0 1 2 1 0 along the fourth column 3

A: Here we have to calculate the determinant value of the given matrix.

Q: 1 1 0 -1 1 1 2. (a) Let A = 1 Using row operations, compute the determinant of A. -1 2 4 1 3 1 (b)…

A: Since you have posted a question with multiple sub-parts, I will solve the first three subparts for…

Q: Find the determinant and the inverse of the matrix [ 1/8  1/4] [ 3/2    1

A:

Q: 1 -1 -1 Let A 2 -2 -1 e M3x3 (R). 1 0 1 (a) Is A invertible? If so, find A-1 and express A-1 as a…

A:

Q: Find the deterninant 4 -1 (1) A = 6 3 (b) л— -3 7 0 5 0 0 -9 3 (c) A = 4

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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: Which of the following is FALSE? A. Det (AB) = Det (A) + Det (B) B. Det (AB) = Det (A) Det (B) T C.…

A: The False statement is  Det(AB)= Det(A) + Det(B)

Q: 2 1 Let A = Show the details of two different methods [(1) using the adjoint and determinant, (2)…

A:

Q: Show that every 2 x 2 matrix A of determinant 1 is the product of three elementary matrices. This…

A:

Q: 2. Let A be any 4 × 4 matrix with determinant -2. (a) Let N be the matrix obtained from A by…

A: Given, |A|=-2(a)Matrix N obtained from A replaced R1 by -4R1Here scalar=-4∴…

Q: 3. Let 1 0 1 A = 3 1 2 4 1 3 (a) Find the determinant of A. (b) Is A invertible? Why or why not?

A: Given, For matrix invertible, .Where  is determinant of matrix.

Q: Find the determinant of the matrix det (M) = M = -2 -2 0 0 0 0 -2 0 3 -3 2 0 -1 FONO

A:

Q: ) Given the matrices: 0 -3 3 0 1 0 4-3 A 3 0 -3 15 02 0 3 3 0 7 01 i) Compute det (B) det(C') –…

A: In this question, three matrices A, B , C are given and we want to compute the given expression and…

Q: If A has the characteristic polynomial −x3+2x2−4x+3 then the determinant of A is 3. TRUE OR…

A:

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

A:

Q: Consider the following matrix  [ 0  -3  -2 ] [ 2   0    5 ] [ 0  -3   0 ] find its determinant

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: For square matrices A and B of order nXn. The following properties hold. det(kA)=kn det(A).     For…

Q: -5 +- [55] 6 -3 (a) Find the determinant of A. det (A) = C = Let A (b) Find the matrix of cofactors…

A: A=-556-3 Note: We are allowed to solve three subparts at a time.

Q: Given A = (b) (c) 1 column. -1 - 2 -1 2 (a) Find the inverse of A by applying elementary row…

A:

Q: 1 1 -2 det(A) = det -2 = 4 det(B) = det -1 -1 =-1 0 2 0 -1 Using the properties of determinants…

A:

Q: Let A and B denote two square matrices. Then answer the following. (a) Prove that a square matrix is…

A:

Q: 't+ 2 3t t+ 1 (b) Consider the matrix A = t- 1 where t is 2t + 4 t 3t + 1 a real number. For what…

A: We find value of t