- #1
cwatki14
- 57
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The problem is as follows:
Find a nonzero 2x2 matrix A such that Ax is parallel to the vector
[1]
[2]
for all x in R2.
So far I know A=[v1 v2] therefore Ax= [v1 v2][x1]
[x2]
= x1v1+x2v2
I know these two vectors are parallel, but I am a little stuck how to relate this property to solve for the matrix A.
Find a nonzero 2x2 matrix A such that Ax is parallel to the vector
[1]
[2]
for all x in R2.
So far I know A=[v1 v2] therefore Ax= [v1 v2][x1]
[x2]
= x1v1+x2v2
I know these two vectors are parallel, but I am a little stuck how to relate this property to solve for the matrix A.