Let V sp({(1, 1, 1, 1), (1, 1, 2, 4), (0, -1, 6, 7)T}) CR¹. = ) Find an orthonormal basis {u₁, U2, U3} for V. U1, Write the vector (3, 4, -2, -1)¹ € V as a linear combination of ) Find the vector v € V closest to x = (4, 6, 1, 1)¹. U2, U3.

Q: Find the coordinates of the vector v = (7,4) with respect to the basis U₁ = (2, 1) and u₂ = (3,1).

A: The answer is given below:

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A: Solvig by au+bv=w

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Q: Please don't provide handwritten solution ....

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A: It is an important part of statistics. It is widely used.

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A: This is a problem related to vector calculation. Please follow the procedure given below.

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Q: The coordinate vector of the vector (-4,3,1) in the basis B = {u= (1,1,1); v= (1,0,1); w= (0,0,1) }…

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Q: The coordinate vector of the vector (-4,3,1) in the basis B={u= (1,1,1); v= (1,0,1); w=(0,0,1) } is:…

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Q: The coordinate vector of the vector (-4,3,1) in the basis B={u= (1,1,1); v = (1,0,1); w= (0,0,1) }…

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A: First one not form a basis but second one is.. See the step 2