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PLEASE DONT WASTE MY TIME Maddy r YouTube × * Lecture Notes: MAS3 \\ Uni 1 Notes

ID: 2251760 • Letter: P

Question

PLEASE DONT WASTE MY TIME

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Explanation / Answer

Convert the given matrix to Row Echelon form

Make zeros in column 1 except entry at row 1, column 1 (pivot entry).

As can be seen all elements in column (except pivot) are already zero.

Make zeros in column 2 except entry at row 2, column 2 (pivot entry).

As can be seen all elements in column (except pivot) are already zero.

Since element at row 3 and column 3 (pivot element) equals 0, we need to swap rows.

Find the first non-zero element in the column 3 under the pivot entry.

As can be seen, there are no such entries. So, move to the next column.

Since element at row 3 and column 4 (pivot element) equals 0, we need to swap rows.

Find the first non-zero element in the column 4 under the pivot entry.

As can be seen, there are no such entries. So, move to the next column.

Make zeros in column 5 except entry at row 3, column 5 (pivot entry).

Add row 3 multiplied by 55 to row 1 (R1=R1+(5)R3)

Therefore the matrix is

[1 0 -3 0 0 6

0 1 7 -1 0 8

0 0 0 0 1 0

0 0 0 0 0 0]

(Since all rows below are zero, then we are done.

since the last row are all zeros we have no solution for this system

Therefore the system is Inconsistent

Option D

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