Let 1: R* → R³, 1: x Ax, where k - 1 A : 3 4 -k 3 1 1 1 a.) Establish for which value of k, the linear function I is an isomorphism. b.) Establish for which value of k, dim Kerl = 2. c.) Establish for which value of k, it is dim Iml = 2 and in this case, find a basis for Iml.

Q: 5. Let ū = (0,2, 1), ở = (-1,0, 2) and w = (2,3,0). Find the coordinates of (2,2,2) with respect to…

A: This question is related to vector space. Solve in 2nd step .

Q: | Let v₁ = (1, −1, 1, − 2), v₂ − (−1, 2, −1, 1), v, −(−2, 1, −1, 5). Determine whether {V₁, V₂, V3}…

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Q: 2. Find a basis for the set of vectors in R2 on the line y = 5x.

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Q: Show that if {Po, P₁, Pn} is an orthogonal set of functions on [a, b] with respect to the weight…

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Q: B = (f1, f2; f3) is a basis for R2[r] where fi = 1+z+2r², f2 = 1+2r + 5x², f3 = 2+1+2r². If g e…

A: Coefficient of linear combination is given. We have to find the element