In Exercises 1-4 find the singular values of the matrices. [ -J

MATH241Lecture 1: 3d Coordinates 3 3D coordinate system is denoted by R The distance between two lines in three dimensions is given by 2 2 2 D= (√−x ) +1y−y ) +(z1z ) 1 2 3 We need to be careful about translating things from R to R because things are not always what they seem. x=3 R1 R2 R 3 Ex: Plot in , and In R , it’s just a point on a number line. 2 In R , you get a vertical line. R3 And in , we get a plane. As we can see, things are very different a