For matrix transformation T(x) = Ax, the rank of transformation T is the same as the rank of matrix A and the nullity of T is the same as the nullity of A. Let T: R → R² be defined by T(x) = Ax where A is given below. 2 A = 4 -2 1 2 0 -2 0 2 -6 -12 -5 7 -5 [0 0 1 1 What is rank(T)? Ex: 5 What is nullity(T)? Ex: 5

For matrix transformation T(x) = Ax, the rank of transformation T is the same as the rank of matrix A and the nullity of T is the same as the nullity of A. Let T: R → R² be defined by T(x) = Ax where A is given below. 2 A = 4 -2 1 2 0 -2 0 2 -6 -12 -5 7 -5 [0 0 1 1 What is rank(T)? Ex: 5 What is nullity(T)? Ex: 5

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter3: Matrices

Section3.6: Introduction To Linear Transformations

Problem 1EQ: 1. Let Ta : ℝ2 → ℝ2 be the matrix transformation corresponding to . Find , where and .

See similar textbooks