Problem 4 Consider the matrices A and B, and vectors x and y in the attached spreadsheet ("PS1.xlsx). Calculate the followings (if an operation is not possible, you can just say "Not Possible); 1. AT 2. A + AT 3. AB 4. BA 5. AT A 6. BTB 7. A-1 8. Ax 9. Ay 10. A-12 Please report your results in your submission, no excel spreadsheet needs to be submitted for this problem. 5 A B D E F G 1 A 2 1 3 6 4 -2 3 7 -2 8 7 11 4 -1 2 5 6 B y 7 2 8 00 4 7 -2 5 9 -4 0 N N 2 2 6 4 1 9 1 1 10 + 4 11 12 13 14 15 Problem 4 Consider the matrices A and B, and vectors x and y in the attached spreadsheet ("PS1.xlsx). Calculate the followings (if an operation is not possible, you can just say "Not Possible); 1. AT 2. A + AT 3. AB 4. BA 5. AT A 6. BTB 7. A-1 8. Ax 9. Ay 10. A-12 Please report your results in your submission, no excel spreadsheet needs to be submitted for this problem. 5 A B D E F G 1 A 2 1 3 6 4 -2 3 7 -2 8 7 11 4 -1 2 5 6 B y 7 2 8 00 4 7 -2 5 9 -4 0 N N 2 2 6 4 1 9 1 1 10 + 4 11 12 13 14 15