Construct a 3 x 3 matrix A, with nonzero entries, and a vector b in R³ such that b is not in the set spanned by the columns of A. Choose the correct answer below. 1 1 1 A. A = 2 22 3 4 5 1 2 3 OC. A 2 1 1 332 1 H 6 and b = 2 32 and b = 2 1 1 1 1 B. A= 2 2 2 and b= 3 3 3 1 1 1 O D. A= 2 2 2 and b = 3 3 3 + 5 6 3 6

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Construct a 3x3 matrix A, with nonzero entries, and a vector b in R³ such that b is not in the set spanned by the
columns of A.
Choose the correct answer below.
1 1 1
OA. A= 2 2 2 and b =
3 4 5
123
OC. A 2 1 1
332
and b =
1
2
6
3
2
1
B.
A =
O D. A=
1 1 1
222
3 3 3
and b =
1 1 1
2 2 2 and b =
3 3 3
5
6
3
9
Transcribed Image Text:Construct a 3x3 matrix A, with nonzero entries, and a vector b in R³ such that b is not in the set spanned by the columns of A. Choose the correct answer below. 1 1 1 OA. A= 2 2 2 and b = 3 4 5 123 OC. A 2 1 1 332 and b = 1 2 6 3 2 1 B. A = O D. A= 1 1 1 222 3 3 3 and b = 1 1 1 2 2 2 and b = 3 3 3 5 6 3 9
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