Find a basis for the set of all 2 vectors of the form a – 2b + 5c 2a + 5b – 8c (Be careful.) -a – 4b + 7c За + b + с

Q: Find a vector orthogonal to both 7 -10 and w -10 -10 -4 7

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Q: Show that vectors (86, 87, –46), (-8, –6, –2), and (-6, –7, 6) are linearly dependent-that is, there…

A: If vectors are linearly dependent then they can be expressed as a linear combination of each other

Q: Find the stable vector of 1 3 4 4 P = 4 %3D 3 7

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Q: Find a vector orthogonal to both = 10 2 and w = 2

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Q: Determine whether the vectors v₁ = (1, 2), v₂ = (-1,0) and v3 = (0, 1) are linearly independent; if…

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Q: Find the stable vector of 7 P = 2/7 M5 iii

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Q: The vectors 3 -4 3 = 12 w = -8 5 -23 + k 7 are linearly independent if and only if k +

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Q: (i) Prove that { (1, 2, 1) , (2, 1, 5) , (1, –4, 7) } is linear dependent subset of R³. (ii)…

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Q: The following question is from linear algebra : Factors the vector (6, -5, -1)t into three…

A: Given a vector  which s to be broken into three components .The component  depends on ,…

Q: Let u = 6 - 1 and v= 6 Show that a a -[:] k Let b = k How can it be shown that a vector b is in Span…

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Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

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