Suppose a 6x8 matrix A has three pivot columns. What is nullity A? Is Col A = R3? Why or why not? .. nullity A = |(Simplify your answer.) Is Col A = R? Why or why not? A. Yes, because the number of pivot positions in A is 3. O B. No, because Col A is a subspace of R°. C. Yes, because rank A = 3. O D. No, because Col A is a subspace of R°.

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
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Suppose a 6x8 matrix A has three pivot columns. What is nullity A? Is Col A = R3? Why or
why not?
...
nullity A =
(Simplify your answer.)
Is Col A = R°? Why or why not?
A. Yes, because the number of pivot positions in A is 3.
O B. No, because Col A is a subspace of R°.
C. Yes, because rank A = 3.
D. No, because Col A is a subspace of R°.
Transcribed Image Text:Suppose a 6x8 matrix A has three pivot columns. What is nullity A? Is Col A = R3? Why or why not? ... nullity A = (Simplify your answer.) Is Col A = R°? Why or why not? A. Yes, because the number of pivot positions in A is 3. O B. No, because Col A is a subspace of R°. C. Yes, because rank A = 3. D. No, because Col A is a subspace of R°.
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