Explain why S is not a basis for R². S = {(-4, 3)} O sis linearly dependent. O s does not span R2. O sis linearly dependent and does not span R2.

Q: Find a basis for R that includes the vectors (2, -1, 5) and (4, 5, -5) {(2, -1, 5), (4, 5, -5), )}

A: Idea is we try to find a vector which is not in the span of given two vectors now collection of…

Q: Let B = (v₁.....V₁) be a linearly independent set in R". Explain why B must be a basis for R".

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Q: Find an orthonormal basis of the plane ¤1 + 5x2 – x3 = 0. %3D

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Q: The graph of f(x) is shown (see figure). 2x² x² + 6 f(x)

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the stable vector of 0 0 1 1 P 2 1 3 3 ..-

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

Q: Find all values of a e R such that {(1,2,5), (a, -2,5), (-3,6,5)} forms a linearly independent set…

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Q: The set is a basis for R². Find the coordinates of the vector a = [*]B= 0 [-24] relative to the…

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Q: Consider the ordered basis 3 = {1, 1+ x, 1+ x + x²}. Given that %3D [1+ 2л + За?]8 — (а, b, с)*,…

A: Given β=1,1+x,1+x+x2 And 1+2x+3x2β=a,b,ct We have to find value for a,b and c…

Q: Explain why S is not a basis for R2. S = {(-6, 6)} O sis linearly dependent. S does not span R². S…

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Q: In the Shamir secret sharing scheme, we distribute a secret among q different users as follows. If…

A: To construct a Reed-Solomon code , we need to determine its parity-check matrix .Here we have to…

Q: 2. Find the coordinate vector [] of a relative to the given basis B = {b₁,b₂, b3} . -3 -0-0-8-8 b₂ =…

A: Given: B=b1, b2, b3 where, b1=1-1-3, b2=-349, b3=2-24 and x=8-96. We have to find the coordinate…