Let T be the linear transformation whose standard matrix is given. Decide if T is a one-to-one mapping Justify your answer. Choose the correct answer below. OA. The transformation T is one-to-one because the equation T(x)=0 has a nontrivial solution OB. The transformation T is not one-to-one because the equation T(x)=0 has only the trivial solution. OC. The transformation T is not one-to-one because the equation T(x)=0 has a nontrivial solution. D. The transformation T is one-to-one because the equation T(x)=0 has only the trivial solution. -65 -4 15 82-8 29 6 1 -2 2 11-7 52
Let T be the linear transformation whose standard matrix is given. Decide if T is a one-to-one mapping Justify your answer. Choose the correct answer below. OA. The transformation T is one-to-one because the equation T(x)=0 has a nontrivial solution OB. The transformation T is not one-to-one because the equation T(x)=0 has only the trivial solution. OC. The transformation T is not one-to-one because the equation T(x)=0 has a nontrivial solution. D. The transformation T is one-to-one because the equation T(x)=0 has only the trivial solution. -65 -4 15 82-8 29 6 1 -2 2 11-7 52
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 .
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