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°.

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A: 1.A vector v is in the column space of a matrix A if AX=v has a solution(X satisfying the equation…

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Q: refer  to  image  below.  It  has  both  parts  of  same  question.

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A: Given that,

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A: ⏹️ Approach to solving the question: 1. Form the augmented matrix [A∣u]: [A∣u] =  2. Perform row…

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A: See the attachment

Q: refer  to  image  below  which  both  address  same  question.

A: Step 1: Step 2: Step 3: Step 4:

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Q: 2. for the augmanted matrix

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A: Since the dimension of R² is 2 so any two linearly independent vectors will span R².

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