Loading the lesson
Loading the lesson
Search AllRounder.ai
Search the courses, subjects, tracks, games and features, or jump straight to a page.
Search the courses, subjects, tracks, games and features, or jump straight to a page.
4 cards from this section. Quick, good the night before a test.
Define a linear transformation.
Think about what properties must hold for the transformation.
What is the kernel of a linear transformation?
Consider where the transformation takes vectors.
What does a linear transformation preserve?
Think about the properties of operations in vector spaces.
True or False: The kernel of a transformation includes all vectors mapped to zero.
Consider what it means to be mapped to zero.
Given the linear transformation T(x, y) = (2x, 3y), determine the kernel and image.
Evaluate what inputs lead to the zero output to find the kernel.
If A is a 3x3 matrix with rank 2, what can be said about its nullity?
Use the Rank-Nullity theorem as a guide for this question.
6 more questions in this section. Enroll free to practise them all.
Enroll free