Question

If T:V3 → V2 is a LT then
Options​

Answer 1

Answer:

Where are the options????????

Answer 2

If $T:V^3\rightarrow V^2$ is LT then T is additive and also homogeneous.

Explanation:

given that-

$T:V^3\rightarrow V^2$ is a LT (linear transformation) then,

According to definition of linear transformation;

Let V^3 and V^2 be a vector space having different dimensions and let T be a function with domain V63 and range in V^2 defined as;

Then, T is a linear transformation (LT) if

(a) - For all x, y ∈ $V^3$, $T(x+y)=T(x)+T(y)$ ,

T is additive.

(b) - For all x ∈ $V^3$ , r∈$R$  ,  $T(rx)=rT(x)$

T is homogeneous.