Question

Need help with this linear algebra problem

Answer 1

You should have

`L(t)=\begin{bmatrix}1\\1\end{bmatrix}+t\begin{bmatrix}2\\-3\end{bmatrix}`

`\mathbf v` on its own points to the point (2, -3) and lies on the line through this point and the origin. We capture all points on this line by scaling
`\mathbf v` by
`t`. Then we add to
`t\mathbf v` another vector that points to P(1, 1), which shifts the endpoint of all vectors on the line
`t\mathbf v` to the line through P that runs parallel to
`t\mathbf v`.