+0

0
98
2
+20

Let A, B, C, and D be the following matrices:

Let V be the vector below:

Consider the vectors a, b, c, d below:

How do we order the list a,b,c,d to match the list $$\mathbf{A}^{-1} \mathbf{v}, \mathbf{B}^{-1} \mathbf{v}, \mathbf{C}^{-1} \mathbf{v}, \mathbf{D}^{-1} \mathbf{v}$$?

Oct 2, 2020

#1
0

The right ordering is c, d, b, a.

Oct 2, 2020
#2
+31498
+5

A-1v  rotates v clockwise by 36degrees to a.

B-1v  reflects to d.

C-1v  goes to b, which seems to be identical to v.

D-1shrinks v to c.

Oct 2, 2020