Recent content by Daren H

Mark44, Dick; thanks for the help. Clearly I need more practice, so I might be back in this thread this weekend.

You sir, are correct. I should have guessed that he was referring to vectors and not coordinates since essentially the problem is asking which of the four are valid transformations of vectors from two space to three space. Thank you for the explanation. However, I may have one more question...

I don't see it. I thought x1 and x2 would be single values such as x1=0 and x2=0, not coordinates in two space such as (0,0). Is it the case if I'm going from R2->R2 and not R2->R3? I have very few examples in my class notes (my professor spends most of the class time on proofs, not examples)...

Homework Statement Determine whether the following are linear transformations from R2 into R3: Homework Equations a) L(x)=(x1, x2, 1)^t b) L(x)=(x1, x2, x1+2x2)^t c) L(x)=(x1, 0, 0)^t d) L(x)=(x1, x2, x1^2+x2^2)^t The Attempt at a Solution To show L is a linear transformation, I need to be...

I'm actually working a problem similar to this, could you please explain this more? Does writing something as a combination involves multiplying the first vector by a scalar to get the second vector? So if I can multiply a vector by a scalar and get the other two then the dimension is 2...