1. Find the inverse of the following matrices using Gauss-Jordan method. 1 1 1 (i) 4 3 -1 35 3 Answer Key: 1. (i) 1 10 2 -4 0 5 11 - 2 -1 14 -15 133 (ii) 1 4 3 1 3 4 7 (ii) -1 -1 -3 -3 1 0 301 1 12 (iii) 1 24 24 7 2 -1 132 (iii) -1 -3 0 0 2 -1

Q: [2 8) Use the Gauss-Jordan method to find the inverse of the matrix A: %3D

A:

Q: Show that matrices A and B = are inverses of each 2 3 other.

A: See the details solution in below

Q: Q4: Using Cayley - Hamilton theorem to find the inverse of the matrix A, where 1 1 2 A = 3 1 1 2 3 1

A:

Q: (a) does the inverse of the matrix exist? Your answer is (input Yes or No) : (b) if your answer is…

A: Given matrix: (a): does the inverse of the matrix exist ?(b): If your answer is yes, write it as…

Q: 1 [2 B = L6 Given the following matrices: A =

A:

Q: 1 1 1 2 -1 2 1. A= 1 3 3 1212

A:

Q: Select one or more: a. (ABC) = CtBtAt b. If matrices A and B commute then they share eigenvectors.…

A:

Q: Use the partitioned matrix technique to find the inverse of: 1 0 0 3 1 4 -5 -1 -1

A: This question is based on Matrix.

Q: A= 1 3 -2 -2 1 21 10 0 03

A:

Q: Find the inverse of the given matrix using Adjoint Matrix: 1 -1 0 0 -1 2 -1 0 0 -1 2 -1 0 0 -1 2

A: We know A-λI = 0 A-λI =    1-1   0   0-1   2-1   0  0-1   2-1  0  0-1   2-λ1000010000100001 = 0

Q: a. L 0 -3 -2 1 -4 -2 1 -3 4 b. 1 0 -1 -3 2 1 2

A:

Q: 2. Let f : R? → R given by f(x, y) = x4 for (x, y) # (0, 0) %3D + y? and f(0,0) = 0. %3D (a) Is f…

A:

Q: Q4. Determine and verify the inverse of the following matrix A=1 3 2 I 2 5

A:

Q: Find the inverse of the matrix if it exists A-[:] 0 4 1 5 5 4 Option 1 Option 2 5 5

A: Solve for the inverse of matrix

Q: Q2 Calculate The Inverse Of The Matrix: 4 A= 1 -1 L2 1

A: