How is the previous system of equations identical to solving this? Or I think what I am more confused about is why do we want to convert the previous system of equations (which can be represented by A = a 25x2 vector, x = (2x1) vector, and b = (25x1) vector), into this system where A = a 2x2 matrix, x = 2x1 vector, and b = 2x1 vector. Couldn't we have figured out u,v from the previous system by solving least squares as well?
mpotoole
Given that this is the subject of quiz 10, I won't spell this out explicitly. However, you may want to review how to solve a linear system from the 2D Transformations lecture.
How is the previous system of equations identical to solving this? Or I think what I am more confused about is why do we want to convert the previous system of equations (which can be represented by A = a 25x2 vector, x = (2x1) vector, and b = (25x1) vector), into this system where A = a 2x2 matrix, x = 2x1 vector, and b = 2x1 vector. Couldn't we have figured out u,v from the previous system by solving least squares as well?
Given that this is the subject of quiz 10, I won't spell this out explicitly. However, you may want to review how to solve a linear system from the 2D Transformations lecture.