(a) V=R2×3, U = {AE R2x3 | AA² = 1}. => (b) V = R², U = {(a1, a2) E R2 ||a1|= 1}. (c) V = RN, U = {(a1, a2, a3,...) E RN | a1 ≥0}.

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A: Given Note: According to the guidelenes we are allowed to solve three sub parts at a time. Please…

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A: Handwritten solution provided.Explanation:Step 1:Step 2:

Q: -2 1 -1 2. Let A -2 0 4 1 5050 96 5 4 -61-2 9 1 -9 Find the rank A and the dim Nul A.

A: (2).rank A=3 and dim Null(A)=2Explanation:

Q: Problem 5. Let T : P2 → R³ be defined by T(p) = (p(0), p(1), p(2)) for all p = P2. Let B = {1, x,…

A: As det(MDB​)=2=0,T is an isomorphismExplanation:

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A: We have to find the next table.

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A: The answer is given below.Explanation:

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A: The given function is: .We need to find .

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A: answers are explained in detail in explanation section  Explanation:

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A:

Q: 2.(2.3) Let f(x, y) = xy(e² + e³) for (x, y) = R². (1) Find fx and fy. (2) Find an equation of the…

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A:

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A: [2].

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A:

Q: can you answer part b

A: (.) The initial value problem is,      (.) Some Laplace transforms are,

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A:

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A:

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Q: Q4.) F(s) L' = 45+93 252+85+40 } 45+9 252 = = 2 = +85+40 =2 2 L" { -1 L+ تو 2/2-1 -2t ? (pat し S+…

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A:

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A:

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Q: Nitin

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A:

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