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).
Last modified: Friday, 5 September 2025, 6:08 PM
Let φ : ℝ³ → ℝ be defined by:
φ(x, y, z) = x + 2y + z
Im(φ) and ker(φ).