For A as in Exercise 11, find a nonzero vector in Nul A and a nonzero vector in Col A . In Exercises 11 and 12. give integers p and q such that Nul A is a subspace of ℝ p and Col A is a subspace of ℝ q . 11 . A = [ 3 2 1 − 5 − 9 − 4 1 7 9 2 − 5 1 ]
For A as in Exercise 11, find a nonzero vector in Nul A and a nonzero vector in Col A . In Exercises 11 and 12. give integers p and q such that Nul A is a subspace of ℝ p and Col A is a subspace of ℝ q . 11 . A = [ 3 2 1 − 5 − 9 − 4 1 7 9 2 − 5 1 ]
For A as in Exercise 11, find a nonzero vector in Nul A and a nonzero vector in Col A.
In Exercises 11 and 12. give integers p and q such that Nul A is a subspace of ℝp and Col A is a subspace of ℝq.
11. A =
[
3
2
1
−
5
−
9
−
4
1
7
9
2
−
5
1
]
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
Elementary and Intermediate Algebra: Concepts and Applications (7th Edition)
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