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Help with row operations? Matrixes?
[1 1 2 5 ]
[2 3 −6 6 ]
[−4 −8 2 6 ]
First: −2R1+R2→R2
Second: 4R1+R3→R3
Third: 4R2+R3→R3
Perform each row operation in the order specified. What would be the final result?
2 Answers
- RaymondLv 712 months ago
R1 means row 1
-2R1 means -2 times row 1 (each element is multiplied by -2
-2R1 + R2 means that you add them together (element by element -- 1st with 1st, 2nd with 2nd, and so on)
→R2 means This result becomes your new row 2.
R1 = [ 1 1 2 5 ]
therefore, -2R1 will be
[-2 -2 -4 -10]
add this to row 2
[-2 -2 -4 -10] + [ 2 3 -6 6] = [ 0 1 -10 -4 ]
This is your new row 2
You now have a new matrix, where row 1 and row 3 are the same as before, but row 2 is now this new row.
The second operation:
multiply the original row 1 by 4
[ 4 4 8 20 ]
Add that to row 3.
The result will become the NEW row 3
The third operation asks you to use these new rows (2 and 3) in order to find a new-new row 3
The final matrix will be
the original row 1 (we never changed it)
the new row 2 (changed with the first operation)
the new-new row 3 (it was changed twice, here you should only show the last one)