TD Sheet 7: Linear Applications
Exercise 5
Let φ : ℝ³ → ℝ be defined by:
φ(x, y, z) = x + 2y + z
- Show that φ is linear.
- Determine the dimensions of
Im(φ)andker(φ).
Modifié le: vendredi 5 septembre 2025, 18:08
Let φ : ℝ³ → ℝ be defined by:
φ(x, y, z) = x + 2y + z
Im(φ) and ker(φ).