Please please answer all with explanationThank you so much Let F be a field, and consider the linear map T: F5 – F5 defined byT(x1, x2, x3, 4, x5) = (0, x1, x2, X3,x4).Find a basis of range T and a basis of null T. What is the dimension of range T,and what is the dimension of null T?

Name: Please please answer all with explanationThank you so much Let F be a
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Please please answer all with explanationThank you so much Let F be a field, and consider the linear map T: F5 – F5 defined byT(x1, x2, x3, 4, x5) = (0, x1, x2, X3,x4).Find a basis of range T and a basis of null T. What is the dimension of range T,an

The objective is to find a basis of range T ,null T, and the dimension of range T and null T

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Let F be a field, and consider the linear map T: F5 → F5 defined by T(x1, x2, x3, X4, X5) = (0, x1, x2, 13, X4). Find a basis of range T and a basis of null T. What is the dimension of range T, and what is the dimension of null T?