Given a 2x2 matrix: A = [1 2] [3 4] and f(x) = Ax, How would you show f(x) is continuous?
J JohnnyBoe New member Joined Jun 5, 2018 Messages 2 Jun 5, 2018 #1 Given a 2x2 matrix: A = [1 2] [3 4] and f(x) = Ax, How would you show f(x) is continuous? Last edited: Jun 5, 2018
D daon2 Senior Member Joined Aug 17, 2011 Messages 1,003 Jun 5, 2018 #2 To show it, it depends on your definition of continuity. What is yours? All linear maps on finite dimensional vector spaces (like yours, \(\displaystyle \mathbb R^2\)) are continuous, though.
To show it, it depends on your definition of continuity. What is yours? All linear maps on finite dimensional vector spaces (like yours, \(\displaystyle \mathbb R^2\)) are continuous, though.
