Question

Let: F(x)=A x for the given matrix A, and find T(u₁) and T(u₂) for the given u₁ and u₂.

Answer 1

To find T(u₁) and T(u₂) for the given matrix A and vectors u₁ and u₂, substitute the values into the function F(x)=A x and perform matrix multiplication.

Step-by-step explanation:

Given the function F(x)=A x for the matrix A, we need to find T(u₁) and T(u₂) for the given u₁ and u₂.

1. First, substitute the given values of u₁ and u₂ into the function, F(x), to get T(u₁) and T(u₂).
2. For example, if u₁ = [1, 2, 3] and u₂ = [4, 5, 6], then T(u₁) = A [1, 2, 3] and T(u₂) = A [4, 5, 6].
3. Finally, perform the matrix multiplication to find the values of T(u₁) and T(u₂).