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Let A and B be the matrices as shown. '1 2 1 1 2 1 ^ - ( ²³ ) ·- - 6 ÷ ³) A = 0 5 1 B = 2 -1 4 2 −1 4 0 5 1 Which of the following statements holds true? B is the product of A and the elementary matrix 1 0 0 (69) 0 1 0 -2 0 1 B is the product of A and the elementary matrix /1 6:0 1 1 B is the product of A and the elementary matrix 0 0 1/2/ 1 0 0 1 0 0 B is the product of A and the elementary matrix '1 0 1 0 0 1 2/

Let A and B be the matrices as shown. '1 2 1 1 2 1 ^ - ( ²³ ) ·- - 6 ÷ ³) A = 0 5 1 B = 2 -1 4 2 −1 4 0 5 1 Which of the following statements holds true? B is the product of A and the elementary matrix 1 0 0 (69) 0 1 0 -2 0 1 B is the product of A and the elementary matrix /1 6:0 1 1 B is the product of A and the elementary matrix 0 0 1/2/ 1 0 0 1 0 0 B is the product of A and the elementary matrix '1 0 1 0 0 1 2/

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let A and B be the matrices as shown. 1 2 1 1 2 1 - - ( ³² ) - - - ( - ) A = 0 5 1 B = 2 -1 4 2 2 −1 4 0 5 1 Which of the following statements holds true? B is the product of A and the elementary matrix 1 0 0 0 1 0 -2 0 1 B is the product of A and the elementary matrix 1 0 0 6:9 0 0 1 1 0 B is the product of A and the elementary matrix 0 1 0 0 1/2/ 0 B is the product of A and the elementary matrix '1 0 0 1 0 \0 1 2)
Transcribed Image Text:Let A and B be the matrices as shown. 1 2 1 1 2 1 - - ( ³² ) - - - ( - ) A = 0 5 1 B = 2 -1 4 2 2 −1 4 0 5 1 Which of the following statements holds true? B is the product of A and the elementary matrix 1 0 0 0 1 0 -2 0 1 B is the product of A and the elementary matrix 1 0 0 6:9 0 0 1 1 0 B is the product of A and the elementary matrix 0 1 0 0 1/2/ 0 B is the product of A and the elementary matrix '1 0 0 1 0 \0 1 2)
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