By using Octave, I get a reduced system:
>> >> X = [1,2,1; -2,1,3; 4,-3,4]
1 2 1
-2 1 3
4 -3 4
1 0 0
0 1 0
0 0 1
This confirms your answer to be correct.
Here is a question from an assignment I am working on. The vector equation is easy.
it is X = (1,2,1) + s(-3,-1,2) + t(3,-5,3).
Everytime I try to get a linear equation out of it, I can get several equations, so I am not sure I am doing it right.
My answer works out to be 7x+15y+18z = 125
Can someone help me with this? Is my final answer correct?
Thanks, but I am not sure how this confirms my answer to be correcT?
edit : it isn't correct - the last value - 125, should have been 55. I must have done a miscalc somewhere.
Unfortunately, the assignment requires me to use the method taught for both the vector and linear equations. I'm new to this. I got an A on the summer school paper and I haven't done maths for about 10 years (as a subject at least), so all the terminology is new. This is a Level 1 paper (first year) on Linear Algebra and Vectors. I don't really understand what your method is saying?