0 0 -1J'l 20 0. Let W be the subspace of M, 3 consisting of all matrices of the form a b 2b с -а for arbitrary real numbers a, b, c. Which of the following collections forms a basis for W? [10 0 1.[0 1 o][0 o o 20 0 0 0 -1 0 1 0 1 0 0 1 0 0 1 -1 2 00 1 1 21-1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 o 1 0 o o o 20 0 0 0 0 0 1 0 0 0 0 0 -1 0 0 0 What is dim(W)?

Elementary Linear Algebra (MindTap Course List)
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 41CR: Let B={(0,2,2),(1,0,2)} be a basis for a subspace of R3, and consider x=(1,4,2), a vector in the...
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0 0 -1J'L 20 0.
Let W be the subspace of M, 3 consisting of all matrices of the form
a b
for arbitrary real numbers a, b, c.
26 c -a
Which of the following collections forms a basis for W?
[10 0 1.[0 1 o][0 o o
20 0
0 0 -1
0 1 0
1 0
0 1 0
0 1
-1
2 00
1 1
2 1
-1
0 1 0
1 0 0
0 1 0
0 0
1 0 0
0 0 0
o o o
20 0
0 0 0
0 1 0.
O 1 0
0 0
0 0
-1
0 0 0
What is dim(W)?
Transcribed Image Text:0 0 -1J'L 20 0. Let W be the subspace of M, 3 consisting of all matrices of the form a b for arbitrary real numbers a, b, c. 26 c -a Which of the following collections forms a basis for W? [10 0 1.[0 1 o][0 o o 20 0 0 0 -1 0 1 0 1 0 0 1 0 0 1 -1 2 00 1 1 2 1 -1 0 1 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 o o o 20 0 0 0 0 0 1 0. O 1 0 0 0 0 0 -1 0 0 0 What is dim(W)?
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