(: 1 2 3 Let T : M2x2 (IR) → M2x3 (R) be given by T(A) = AB where B = 4 5 6 Let B = {E11, E12, E21 , En2}, Y = {E11, E12 , E13, E21 , E2 , E3} be bases for M2x2 (R), M2×3 (R) respectively. (a) Prove that T is linear. (b) Find [T],

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A: To find - Find all the vectors  x* that minimize Ax - b, where A and b are as given. A = 212433, b =…

Q: 37 If [T; B,, B2] =| 1 1 2 -1 2 - 2 find T. 2

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Q: 4. Let T: R2 → R² be defined by T = {B.[4]). and B₁ = -x y X- ([])=[ + ][²] = {[1].8]} BVB RUE BUE…

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A: Given system of equation is  Ax=b, withA=12741030011-4-9-29,  b=13583-55  Now  find the right answer…

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A: We first find inverse of A then compare with matrix B we get required result.

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Q: -() --() --() 14. Let ei = e2 = ez = 1 3 Show that {e1, e2, e3} is a basis of R3 and write v = (66,…

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Q: Let T: R³ → R³ be a linear operator and B = [v₁, V2, V3] a basis for R³. Suppose 0 T(v₁) =_=A T(v₂):…

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Q: 4 3 3. Let XT = [X₁, X2, X3, X4] with mean vector μ = Partition X as X = /X₁ X₂ X3 X4 Let A = (1 2)…

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Q: 1 5 -3] Question#3: Let A =|-1 7 1, b = and -2 4 0 T:R³ - R' be a transoformation defined by T'(x) =…

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