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Let A = 2 4260 135 5 10 1 Ο 1 and 1 -2 ― 1 0 4260 -1 10 1 2020 0 0 1 00 Rref(A) = 0 000 1 0 0 0 0 0 Q6.1 If T: R" → Rm is a linear transformation defined by matrix A above, then n = 02 3 Q6.2 5 Not Enough Information If T: R" R is a linear transformation defined by matrix A above, then m = 2 4 5 Not Enough Information Q6.3 If T: R" → R is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim Ker(T)]= Q6.4 2 3 5 Not Enough Information If U : R" → Rm is a linear transformation defined by the transpose of the matrix A above, AT, then find the dimension of the range of U. dim[Range(U)] = 2 4 5 Not Enough Information

Let A = 2 4260 135 5 10 1 Ο 1 and 1 -2 ― 1 0 4260 -1 10 1 2020 0 0 1 00 Rref(A) = 0 000 1 0 0 0 0 0 Q6.1 If T: R" → Rm is a linear transformation defined by matrix A above, then n = 02 3 Q6.2 5 Not Enough Information If T: R" R is a linear transformation defined by matrix A above, then m = 2 4 5 Not Enough Information Q6.3 If T: R" → R is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim Ker(T)]= Q6.4 2 3 5 Not Enough Information If U : R" → Rm is a linear transformation defined by the transpose of the matrix A above, AT, then find the dimension of the range of U. dim[Range(U)] = 2 4 5 Not Enough Information

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Let A = 2 4260 135 5 10 1 Ο 1 and 1 -2 ― 1 0 4260 -1 10 1 2020 0 0 1 00 Rref(A) = 0 000 1 0 0 0 0 0 Q6.1 If T: R" → Rm is a linear transformation defined by matrix A above, then n = 02 3 Q6.2 5 Not Enough Information If T: R" R is a linear transformation defined by matrix A above, then m = 2 4 5 Not Enough Information Q6.3 If T: R" → R is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim Ker(T)]= Q6.4 2 3 5 Not Enough Information If U : R" → Rm is a linear transformation defined by the transpose of the matrix A above, AT, then find the dimension of the range of U. dim[Range(U)] = 2 4 5 Not Enough Information
Transcribed Image Text:Let A = 2 4260 135 5 10 1 Ο 1 and 1 -2 ― 1 0 4260 -1 10 1 2020 0 0 1 00 Rref(A) = 0 000 1 0 0 0 0 0 Q6.1 If T: R" → Rm is a linear transformation defined by matrix A above, then n = 02 3 Q6.2 5 Not Enough Information If T: R" R is a linear transformation defined by matrix A above, then m = 2 4 5 Not Enough Information Q6.3 If T: R" → R is a linear transformation defined by matrix A above, then find the dimension of the kernel of T. dim Ker(T)]= Q6.4 2 3 5 Not Enough Information If U : R" → Rm is a linear transformation defined by the transpose of the matrix A above, AT, then find the dimension of the range of U. dim[Range(U)] = 2 4 5 Not Enough Information
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