Find the coordinate vector [x]R of x relative to the given basis B= {b1, b2, b3}. 1 4 1 - 6 b, 0 , b2 = 1 , b3 - 1 x = 5 20 4 - 27 [x]3 = (Simplify your answer.)

Q: Write the vector v = B - - -3 8 5 -44] 50 24 1 - as a coordinate vector with respect to the basis

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Q: Let W be the set of all vectors Select an Answer ✓ 1. -2 -8 V= -2 2 Select an Answer ✓ 2. -3 -8 V=…

A: Given that Now, recall  the definition  of orthogonal  complement.    Now, for option(1):   This…

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A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

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

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A: For orthogonal, dot product of two vectors are zero.

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A: In this question, we have given the Basis set of vector space and the coordinate vector [X]B. By…

Q: Find the coordinate vector [x]g of x relative to the given basis B= {b₁,b₂, b3}. 11 - 3 ·¤¤¤¤ b₂ 4 ,…

A: b1=1-1-4, b2=-3412, b3=2-24, x=-21-28 To Find:The coordinate vector xB of x relative to the basis…

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Q: Use the Laplace transform method to solve the following PDE with boundary and initial conditions.…

A: We are given the following PDE.         ut=uxx, x>0, t>0ux(0, t)=u(0, t)-50, t>0u(x, t)→0…

Q: What is the vector shown in component form?

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Q: 1 Let a =-2 and b = -2 | be two vectors. 1 What is |a2|b|2+ |a · b? ?

A: Given that:a=2-21 and b=1-22

Q: 1 4 Give a reason why the vectors 1 are 8 -88 arly dependent. (3 pts) Write one vector as a linear…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 2 - 4 B=…

A: The vector x is the linear combination of the vector in basis B.

Q: Find the coordinate vector [x]B of x relative to the given basis B= {b1, b2, b3}. 1 - 3 - 8 - 1 b2 4…

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Q: Find the coordinate vector [x] of x relative to the given basis B = {b₁,b₂, b3} - -4 2 CHCHHI 1 b₂ =…

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Q: a) Use the dot product to verify the type of angle connecting the vectors and y (acute, right or…

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Q: Find the vector x determined by the given coordinate vector [x]R and the given basis B. - 1 - 4 B=…

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Q: -1 X1 Let v = Find a vector x = x2 such that 3v +x = |2|

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