Q1:3 Evaluate the following commutators acting on the Hilbert space of L² (R) functions and conclude whether they commute or not (i) d x, dx (ii) |x, dx?

Q: 2х1 + 3х, — хз — 2 Зх1 — 2х2 + хз — —1 = -1 — 5х1 — 4х2 + 2xз — 3

A: Given that  The system of equations  To find the solution of system of equations by using cramers…

Q: W laLer Prove the polynomial identity below: (2 – 4y² )² + (4zy)² = (z² + 4y)

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Q: Use Lagrange interpolating polynomials of order 4 to calculate (7.1) 1 3 8 Ax) 1 20 94 267

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Q: Let a=⟨−3,−2,2⟩ and b=⟨−4,−2,0⟩ Compute:

A: Given that          a = <-3, -2, 2 >    and    b = <-4, -2, 0> Here we have to compute…

Q: 1) Evaluate g = Af, where A and f are given below: (a) (b) (c) (d) A SQRT d³ dr³ + x³ dx 8² 8² +…

A: The step-by-step answer is given below please check.Explanation:Step 1:a) Step 2:b) Step 3:4)…

Q: K dt ²-10t + 29

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Q: Determine whether the function defined by = 2x1y₁ - x1y2 - x2y1 + 2x2y2 is an inner product on R².

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Q: 11г - 22 xp- (2г — 1)(х + 5)

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Q: I have performed the following polynomial multiplication in matlab on two vectors of polynomial…

A: Since matlab is mymult=conv(v1, v2) and result is mymult=3 45 -6 -78 99 65 -54 -12 -10 240

Q: y)(Ty → Wy) - Hv)) → Ia

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Q: ASTR n = 2x+y 121 x,y € Prove that A is not open and not closed. Q

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Q: Solve the following using Cramer's Rule 2x - 4y + 5z = -33 4x - y = -5 -2x + 2y - 3x = 19

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Q: (b) Are the polynomials x + 5, x – 5, 2x +1 linearly independent in P1(R)? Explain.

A: The vectors a1, ..., an are called linearly independent if there are no non-trivial combination of…

Q: Now, from the definition of k(m), given by equation (1.135), we find on setting n = 0, 1, 2, ...,…

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