Question

There is NO one to one linear transformation \(T: P_3\rightarrow M_{32}\) True or False. Explain
Please

Answer 1

I'm sorry, but I don't really understand this at all. :(

Answer 2

Best of luck! Maybe amistre or someone knows?

Answer 3

@amistre64

Answer 4

M(3x2) ?

Answer 5

yes

Answer 6

\[P_3(x)=c_3x^3+c_2x^2+c_1x+c_0\]
\[M_{3x2}:\begin{vmatrix}m_{11}&m_{12}\\m_{21}&m_{22}\\m_{31}&m_{32}\end{vmatrix}\]

Answer 7

first off, I want to confirm the definition of one-one function. Is it all image has preimage?

Answer 8

or no need to have that direction? just all preimage has image?

Answer 9

one to one means that a unique preimage to image relation exists
the coefficent vector is a 4x1, if A is a 3x4