Define appropriate vectors and restate the problem in terms

Question

Question: Consider the problem of determining whether the following system of equations is consistent:

4x₁ - 2x₂ + 7x₃ = -5

8x₁ - 3x₂ + 10x₃ = -3

a. Define appropriate vectors, and restate the problem in terms of linear combinations. Then solve that problem.

b. Define an appropriate matrix, and restate the problem using the phrase "columns of A."

c. Define an appropriate linear transformation T using the matrix in (b), and restate the problem in terms of T.