1. Find the inverse of matrix (if it exists). Do not use formula. 6271 2. The...

     

Transcribed Image Text:

1. Find the inverse of matrix (if it exists). Do not use formula. 6271 2. The Inverse of matrix A is given. [3 2 11 1 1 2 1 2 Use the inverse to solve for X. A-1 = 3. If A and B are nxn matrices and A is Invertible. Prove: (ABA-¹)=AB²A-¹. 4. Find a LU-factorization of the matrix and write our all elementary matrices and inverse of these elementary matrix. x₂ + 3xy 2x₂ -10x₂ +2x3 = L AX = [1 0 5. Solve the linear system using LU-factorization. x₂-3x₂ Coefficient matrix A-LU, where 0 01 1 0 -4 1. 12 1 <= -10. 0 732 and U= 6. For the following matrix: Find cofactors C33 and C34- A = 2 0 01 0 -3 1 10 12 31 [1-3 1 0 14 100 A = 730 10-2 1 1 C 1 -4 1. Find the inverse of matrix (if it exists). Do not use formula. 6271 2. The Inverse of matrix A is given. [3 2 11 1 1 2 1 2 Use the inverse to solve for X. A-1 = 3. If A and B are nxn matrices and A is Invertible. Prove: (ABA-¹)=AB²A-¹. 4. Find a LU-factorization of the matrix and write our all elementary matrices and inverse of these elementary matrix. x₂ + 3xy 2x₂ -10x₂ +2x3 = L AX = [1 0 5. Solve the linear system using LU-factorization. x₂-3x₂ Coefficient matrix A-LU, where 0 01 1 0 -4 1. 12 1 <= -10. 0 732 and U= 6. For the following matrix: Find cofactors C33 and C34- A = 2 0 01 0 -3 1 10 12 31 [1-3 1 0 14 100 A = 730 10-2 1 1 C 1 -4

Answer rating: 100% (QA)

2 3 Sol Az Adj A A1 A X P all 1 912 2 921 1 922 4 1 A 42 ... View the full answer