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Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4

Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4

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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Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4 Number of Matrices: 1 0 0 0 A 0 0 0 = 000
Transcribed Image Text:Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -6 6 6 A = 9 -8 -12 -3 3 4 Number of Matrices: 1 0 0 0 A 0 0 0 = 000
Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -2 3 A = 4-4-6 100 Number of Matrices: 1 000 A = 0 0 0 000 3 One possible correct answer is: [100 1 0 0 0 0 1 -1 1 0 0 1 0 0 0 1 1 0 0 A = 0 2 0 001 Comments: 1 0 0 0 1 0 -2 0 1 1 0 0 0 1 0 0 0 3 1 0 0 0 1 0 0 1 1 Your matrices do not multiply to produce A. Also, not all of your matrices are elementary. You will receive no marks for your answer. Note that a product of elementary matrices is equal to the same matrices multiplied on the left of an identity matrix. Thus,
Transcribed Image Text:Express the following invertible matrix A as a product of elementary matrices: You can resize a matrix (when appropriate) by clicking and dragging the bottom-right corner of the matrix. -2 3 A = 4-4-6 100 Number of Matrices: 1 000 A = 0 0 0 000 3 One possible correct answer is: [100 1 0 0 0 0 1 -1 1 0 0 1 0 0 0 1 1 0 0 A = 0 2 0 001 Comments: 1 0 0 0 1 0 -2 0 1 1 0 0 0 1 0 0 0 3 1 0 0 0 1 0 0 1 1 Your matrices do not multiply to produce A. Also, not all of your matrices are elementary. You will receive no marks for your answer. Note that a product of elementary matrices is equal to the same matrices multiplied on the left of an identity matrix. Thus,
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