Given T (x), transformation of T : R →R² and RREF as in figure, determine the range RREF of of the linear transformation. (Answering time: 2 minutes) Given a matrix, A and it's reduced row echelon form, matrix B. Determine the basis for the 2 -1 4 column space of A. (Answering time: 2 minutes) 1 0 [3 1 A= 2 -1 4 1 Given a matrix, A and it's reduced row echelon form, matrix B. Determine the row space of B. (Answering time: 2 minutes) 1 6. 1 0

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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Given T (x), transformation of T : R →R² and RREF as in figure, determine the range
RREF-
of of the linear transformation.
(Answering time: 2 minutes)
Given a matrix, A and it's reduced row echelon form, matrix B. Determine the basis for the
A=2 -1 4
column space of A.
1
1
(Answering time: 2 minutes)
1 0
Гз 1
Given a matrix, A and it's reduced row echelon form, matrix B. Determine the row space of B.
A=2 -1 4
(Answering time: 2 minutes)
1
1
9.
1
1
Given a matrix, A and it's reduced row echelon form, matrix B. Determine the basis for Nul A.
A=2 -1 4
(Answering time: 5 minutes)
1
1 0
9lr
2.
Transcribed Image Text:Given T (x), transformation of T : R →R² and RREF as in figure, determine the range RREF- of of the linear transformation. (Answering time: 2 minutes) Given a matrix, A and it's reduced row echelon form, matrix B. Determine the basis for the A=2 -1 4 column space of A. 1 1 (Answering time: 2 minutes) 1 0 Гз 1 Given a matrix, A and it's reduced row echelon form, matrix B. Determine the row space of B. A=2 -1 4 (Answering time: 2 minutes) 1 1 9. 1 1 Given a matrix, A and it's reduced row echelon form, matrix B. Determine the basis for Nul A. A=2 -1 4 (Answering time: 5 minutes) 1 1 0 9lr 2.
Expert Solution
Step 1

Note that the nonzero rows and pivot columns in row reduced echelon form give the basis for the row space and column space respectively.

 

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