Question

1

Answer 1

oh, no, just 1

Answer 2

I am sorry for misread the problem. My final answer is only one

Answer 3

I wanna understand how to approach the answer

Answer 4

Let me retype it

Answer 5

i really dont get it

Answer 6

A is invertible --> the transformation is one to one which means any image has only 1 preimage.
Your image is b,
its preimage is x

Answer 7

A is applied to x to get b, you have Ax =b

Answer 8

If you can prove that A is invertible, then A transfers x to b and then \(A^-\) transfers b back to x, not other point

Answer 9

so that, for each b, you have only 1 x

Answer 10

The goal of the problem becomes proving A is invertible.

Answer 11

How to know? det A \(\neq 0\) --> A is invertible.

Answer 12

and you can calculate det A = 3 \(\neq 0\)

Answer 13

which leads to A is invertible

Answer 14

--> each b has only 1 x

Answer 15

this is the question, they are vectors. So I still can't follow you somehow. We have not reached the invertible part yet.

Answer 16

wow!!

Answer 17

if you don't know what is invertible, how you can solve a general problem like this???

Answer 18

@rational Please, help

Answer 19

Sorry...maybe I do know what invertible means I might not know that the concept is called invertible

Answer 20

hihihi ... That's all I can give you. Reread and you can understand it.