Theorem 3 6 3 If A E Matmxn and 0 Proof ER then A 0 0 Rm 0 A

Last updated: 9/12/2023

Theorem 3 6 3 If A E Matmxn and 0 Proof ER then A 0 0 Rm 0 A 0 A Othm 3 2 5 A 0 A 0 thm 3 2 5 A 0 0 A 0 Definition 3 6 4 The kernel of a matrix A is the set ker A v A v 0 Exercise 3 6 5 Using the same generality i e abstractly not using a particular matrix as above prove that if u and v ar both in the kernel of a matrix A then Span u v C ker A Does it change anything if I take 3 vectors 4 vectors k man vectors See me if you want some help with abstract proofs