Does the 0 vector not count when determining the dimension?

brushman · Oct 25, 2011

Homework Statement

If we have ker(T)={0}, why is the dim(ker(T)) = 0?

Does the 0 vector not count when determining the dimension? I thought the answer would be 1.

Dick · Oct 25, 2011

Nope, doesn't count. The zero vector is in any vector space. Even a one-dimensional space has the zero vector in it. The zero vector isn't what makes it one-dimensional.

Does the 0 vector not count when determining the dimension?

Homework Statement

Hi! Can someone explain about Differential Equations?

Deriving spatial derivatives

Investigating the real roots of a cubic equation

What does "compute Aut(G)" mean?

J_1(x) = (x^2/10)*(J_1(x) + J_3(x)) How to solve?

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Does the 0 vector not count when determining the dimension?

Homework Statement

Similar threads