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1. Fill in the table below for each matrix. Independent/Spanning apply to the column vectors of efficient matrix. One-to-one/Onto refer to the coefficient matrix as a linear transformation. A = 1001 02 0 13 0 0 130 1 D 0 0 1 2 0000 Matrix A B с D E F Consistent Yes E = B = Rank 3 10 21 01 32 00 010 1 0 2 0 1 0 1 2 0 2 00013 10 0102 00 13 0000 1 1 0 2 6 01 -2 32 000 03 Independent Spanning One-to-one Onto Yes Yes Yes Yes

1. Fill in the table below for each matrix. Independent/Spanning apply to the column vectors of efficient matrix. One-to-one/Onto refer to the coefficient matrix as a linear transformation. A = 1001 02 0 13 0 0 130 1 D 0 0 1 2 0000 Matrix A B с D E F Consistent Yes E = B = Rank 3 10 21 01 32 00 010 1 0 2 0 1 0 1 2 0 2 00013 10 0102 00 13 0000 1 1 0 2 6 01 -2 32 000 03 Independent Spanning One-to-one Onto Yes Yes Yes Yes

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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1. Fill in the table below for each matrix. Independent/Spanning apply to the column vectors of coefficient matrix. One-to-one/Onto refer to the coefficient matrix as a linear transformation. A = D= 0 0 1 0 1 02 0 0 1 3 w 0 1 Matrix A B с D E F 0 0 0 0 0 1 NO 2 0 Consistent Yes E = B = 10 2 1 013 0 0 0 0 1 0 0 1 -2 0 0 2 0 1 02 3 0 1 Rank Independent 3 Yes Spanning Yes C = 10 0 1 01 02 0 0 1 3 0 00 1 0 F= 0 1 OWN 2 6 1 -2 32 00 0 03 One-to-one Yes Onto Yes 0
Transcribed Image Text:1. Fill in the table below for each matrix. Independent/Spanning apply to the column vectors of coefficient matrix. One-to-one/Onto refer to the coefficient matrix as a linear transformation. A = D= 0 0 1 0 1 02 0 0 1 3 w 0 1 Matrix A B с D E F 0 0 0 0 0 1 NO 2 0 Consistent Yes E = B = 10 2 1 013 0 0 0 0 1 0 0 1 -2 0 0 2 0 1 02 3 0 1 Rank Independent 3 Yes Spanning Yes C = 10 0 1 01 02 0 0 1 3 0 00 1 0 F= 0 1 OWN 2 6 1 -2 32 00 0 03 One-to-one Yes Onto Yes 0
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