Final answer:
The pivots for the upper left 2 by 2 submatrix A₂ without row 3 and column 3 are 5 and 9 respectively.
Step-by-step explanation:
The pivots for the upper left 2 by 2 submatrix A₂ without row 3 and column 3 can be found in the remaining rows and columns. Since there are no row exchanges, the pivot in the first row and first column will be the same as the pivot in the upper left corner of the original matrix A, which is 5. The pivot in the first row and second column will be the same as the pivot in the second column of the original matrix A, which is 9. Therefore, the pivots for the upper left 2 by 2 submatrix A₂ without row 3 and column 3 are 5 and 9 respectively.