The figure below shows four named points A, B, C, and D on a grid generated by two vectors ₁, ₂ in R². Part 1 A = Write each point as a sum of scalar multiples of 1 and 2. Enter v1 for ₁ and v2 for ₂. B= C= D= Part 2 AB= Write each vector as a sum of scalar multiples of ₁ and 7₂. Enter v1 for ₁ and v2 for ₂. BA-CA= B C + 4v₂ = C D + 4DA = A U₂ y

Q: (Left nullspace) Add the extra column b and reduce A to echelon form: 1 2 3 b₁ 1 2 3 b₁ [A b] = 4 5…

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Q: Describe the solutions of the first system of equations below in parametric vector form. Provide a…

A: Introduction: Any system of linear equations can be expressed in the matrix equation form. And then…

Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Find the dot product of a = and b = .

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Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: Given,

Q: et V₁ = (1, -2,-2), V₂ = (0, -1, -2), V3 = (2, -4,-5). re the vectors 1, 2 and 3 linearly…

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Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: Find a + b, 4a + 2b, lal, and la bl. (Simplify your vectors completely.) a = 4i 3j+ 2k, b = 2i - 4k…

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Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: Describe the solutions of the following system in parametric vector form. Also, give a geometric…

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Q: 5. Write the components of the following vectors: 5a. ˆı, 5b. −7ˆȷ, 5c. 4ˆı + 9ˆȷ, 5d. 5ˆı − 3ˆȷ.6.…

A: The objective of the question is to write the components of the given vectors and to express the…

Q: On the grid below, draw the following vectors: a = −2i+3j b = -4i+2j c=5j

A: Given

Q: Determine the dot product for the two vectors: x = ai+bj+ck and y = di+ej+fk where a = 4, b = 5, c =…

A: