A= [1 2 3
-1 4 5
1 6 7
please find the inverse or A^-1 of the given matrix A by using the
Gauss-Jordan Elimination method
3 and 4 please 1 0 0 3. Find the inverse of A= 0 4 0 by Gauss-Jordan elimination 2 3 1 and check your answer by multiplication. 3 1 2 4. Find the inverse of 2 6 -4 by the cofactor formula. 3 0
2. Inverse of a square matrix: Determine the inverse matrix [A™'] of the given square matrix [A] using the Gauss-Jordan Elimination Method (GEM), and verify that [A-!] [A] = I where I is the identity matrix. A = [ 1 4 -27 0 -3 -2 | -3 4 1
Problem X. Take the method for finding the inverse of a given n x n matrix A -a by straightforward Gauss (or Jordan) elimination (Problem 7 is a particular case for n 3). First you write down the augmented matrix A and apply the Gauss process to this as discussed in class: A-la2,1 a2,2 a2,n : an,1 an,2 .. an.n 0 0 1 3. Derive the Jordan elimination algorithm without pivoting for the augmented matrix in terms of a triple...
PLEASE SHOW WORK Question 7 Ор Given the system 3x – 2y + 5z = -5 3- y + 32 = -3 4x + y + z = -6 write the augmented matrix and solve using Gaussian or Gauss-Jordan elimination
5. For the system, 4x + y + 2z = 1 2x + 3y + 4z = -5 x – y +3z = 3 Find the rank of the coefficient matrix by calculating the determinant. Use Cramer's theorem to find the solution of this system. (10 points) 6. Find the inverse of the following matrix using Gauss-Jordan method. Verify your result by computing the inverse using the method of determinants. (10 points) 1 2 4 2 4 2 1] 1...
Find the inverse of the following matrix A using Gauss-Jordan elimination (must show ALL steps): 20 21 A = 8 10 13 000
Find the general solution for the augmented matrices 1-2 (1 1 3 2 -1 -1 4 1 ) -2) Solve the system (shown here as an augmented matrix) by Gauss-Jordan elimination
Given the matrix A [1 7 L3 6 91 5 2. 4 8] (a) Find the inverse of the matrix A clearly showing all the steps leading to the inverse matrix. (b) Show clearly using matrix multiplication that AA-1 = I and A-1A = I, where I is the identity matrix.
Question 7 O pts + X Given the system 3x – 2y + 5z = -5 3-y + 32 = -3 4x +y + 62 = -6 please box answers ill thumbs up write the augmented matrix and solve using Gaussian or Gauss-Jordan elimination
The given matrix is an augmented matrix representing a system of linear equations in x, y, and z. Use the Gauss-Jordan elimination method (see Gauss-Jordan elimination method box and Example 1) to find the solution of the system. ſi 2 51 | 2 - 4 LO 1 - 3 (x, y, z) =(