Orthonormalize the set as the inner product: where u = 000 using the Gram-Schmidt process and the usual dot product on R ³ < ₁ >= = ₁V₁ + U₂V₂ + U3V3 (11 , 2 , u3) and Ủ = (U1, U2, U3).

Q: Consider the vectors i = (2, – V3, 1) and ū = (-1, v3, 4). Find the orthogonal decomposition of u…

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Q: I am reallly having a difficult time

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Q: State why (u,v) =u,³v,² +u₂³v₂² is not an inner product for u = (u,,u,) and v= (v₁,v₂) in R².

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Q: 9. Show that the function (-, -) : IR² × R² → IR defined by setting = #1#2 + 2x12 + 2y1*2 + 8y1Y2 /2…

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Q: Thescalar componentof the projection of u= on to v=is comp(subscript v)u

A: This question is based on vector properties.

Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: Using LU Decomposition Method, determine the roots of the following equation. Explain how the answer…

A: We have the system of linear equation to solve using the LU decomposition…

Q: True or False: (p, q) = pq defines an inner product on P(R).

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Q: Is = xjx + yjy+zźz3 an inner product on R'?

A: No it is not an inner product.  Inner product looks like a dot product.

Q: Zet 15 and y=[1²] 6 X = 1 2 ] and Are x and dot product? explain why or why yorthogonal with respect…

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Q: Explain why is not an inner product for u =(u1, u2) and v =(v1, v2) in R2 when = u1u2 + v1v2 using…

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Q: Find the matrix for a shear in the x-direction that transforms the triangle with vertices (0,0),…

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Q: Show that A and AT have the same nonzero singular values. How are their singular value…

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