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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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