True or False for the following statements 50)If L:V→W is a one-to-one linear transformation, then only the zero vector in V is mapped to the zero vector in W 49)An n×n matrix A that has n linearly independent eigenvectors is similar to a diagonal matrix D , whose diagonal elements are the eigenvalues of A 48)If L:V→W is a linear transformation, then only the zero vector in V is mapped to the zero vector in W.

True or False for the following statements 50)If L:V→W is a one-to-one linear transformation, then only the zero vector in V is mapped to the zero vector in W 49)An n×n matrix A that has n linearly independent eigenvectors is similar to a diagonal matrix D , whose diagonal elements are the eigenvalues of A 48)If L:V→W is a linear transformation, then only the zero vector in V is mapped to the zero vector in W.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.6: The Matrix Of A Linear Transformation

Problem 37EQ

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