In each part, determine whether the set of vectors is orthog- onal with respect to the standard inner product on M2 (see Example 6 of Section 6.1). а. 2 2 3. 1 1 3 3

Q: Express EC by combinations of the vectors a, b and 7.

A: We have to write EC vector in terms of a,b and c

Q: 10 -00-0 7 12 5 -8- Are the vectors 6 and linearly independent? Explain! 8

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Q: Show whether or not the set of vectors B = {U, V, W} where U = V = and W = 0 is a basis for R³.

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Q: Given three non-zero vectors, a, b & C, is it possible to evaluate a b Explain with an example. •6•²

A: We have given three non-zero vector.

Q: cannot be found in such a general cas explain why. In either case, justify you 2) Let a and b be two…

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Q: Show that the vectors below are independent. 1 3 3 3 5 3

A: The given vectors are 123,  -1-15   and  333. Compute the determinant of matrix formed by these…

Q: how that vectors[ A-2i+ 3j - 2k,B=I +2j+ 4k ] are perpendicular to each o

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Q: response. Justlfy_your ans 1 1 -1 is a linear combination of the vectors y, 2 Show whether or not…

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Q: find the diJ tance betueen the vectors

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Q: 2/ find vectors that Span of A A = 1 1 25 139 Kernel

A: NOTE: Refresh your page if you can't see any equations. . convert the given matrix into RREF

Q: Is every vector in R2 a linear combination of the vectors (1,-2) and (-2,1)? Provide a detailed…

A: Let (a,b) ∈ R2 , We write the (a,b) is the linear combination of the given vector (1,-2) and (-2,1)

Q: Express v = (-i, 2 + i, -1) as a linear combination of the following basis vectors given below.…

A: According to the given information it is required to express the given vector v as a linear…

Q: Let a = (a1, a2), b = (b₁,b2) be vectors in R². The area(a, b) is given by 1b₂-a2b₁. (a.) Show that…

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Q: Find a nonzero vector in Nul A and a nonzero vector in Col A. -5 -2 3 0 -1 A -2 -2 7 2 -1 0 -5

A: Given A=-5-23-10-10-2-2-572   To Find: a non-zero vector in Null(A) and a non-zero vector in Col(A).

Q: Edit 396 V396 Edit 396 396 show Work for this question: Modify Show Work

A: Given 3 vectors, u=5, 4, -5, 0, v=-1, -1, 1, -1, w=3, 2, 4, 5 Let,  x1=u-v=6, 5, -6, 1x2=u-w=2, 2,…

Q: If a = (5, 0, -1), find a vector b such that compab = 5. b =

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Q: Determine whether the set of vectors Q={(-1,1,1).(-1,0,2).(1,2,3)} spans R'.

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Q: Find an explicit description of Nul A by listing vectors that span the null space. 1 3 5 A = 0 1 2…

A: Define linear transformation T: V(F)→V'(F) where V(F), V'(F) be vector spaces over field F  Null…

Q: 5. Determine if the vectors x² + x, 2x²,2x − 3, 9 in P3 are linearly independent or linearly…

A: In this question, we will check the given vectors is linearly independent or dependent.

Q: Determine whether the following three vectors lie on the same line in R?: и, 3 (4,6,8), и, %3 (2,3,…

A: The given vectors lie on the same line. u2=2,3,4u1=4,6,8=2×2,2×3,2×4=2×2,3,4=2u2So, u1=2u2Thus,…

Q: Part bl Let U₁ = 1 + x + 4x², U₂ = 2x + 5x², U3 = 2 + x + 7x². Determine whether these three vectors…

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Q: Show that the vectors (1,1,0), (1,0,1), and (0,1,1) generate F3.

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