The following is an attempt to answer, linearly independent? Why of A = 03 13 2. attempted solution: 21 A = 1³ -9 2 3r₂ +√3 -Fratry 03 3-2 2 -1 1132 r₁=ry 0-12-3r₁ + ry <>ry +r313 73 2 0-1 2 0 0011 0 19/ -103 3211 32 7 13try 0-12 00 11 000 D O 1/ ww-w Are the columns Why not? =A NY 2 0-7-5 There are no free variables because they're all pivot columps. So its linearly independent. - Identify all mistakes in the attempt above. -Determine if columns of A are linearly independent, justifying answer as detailed as possible.

Q: If n(A) = 59, n(B) = 21, and n(A ∩ B) = 4, find n(A ∪ B).

A:

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A:

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Q: If n(A) = 45, n(B) = 15, and n(A ∩ B) = 9, find n(A ∪ B).

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Q: If n(A ∪ B) = 97 and n(A) = n(B) = 66 find n(A ∩ B).

A: Given, n(A ∪ B) = 97 and n(A) = n(B) = 66

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A: topic - sets

Q: If n(A) = 64, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Given, n(A) = 64, n(B) = 16, and n(A ∩ B) = 4   The objective is to find n(A ∪ B).

Q: If n(A) = 41, n(B) = 15, and n(A ∩ B) = 2, find n(A ∪ B).

A: We will use the following n(A U B) = n(A) + n(B) - n(A ∩ B)

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Q: If  n(A) = 66, n(B) = 16, and n(A ∩ B) = 4, find n(A ∪ B).

A: Givenn(A)=66n(B)=16n(A∩B)=4

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A: Given that  n(A) = 45, n(B) = 18, and n(A ∩ B) = 7. We find n(A ∪ B).

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