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lesya [120]
4 years ago
12

Show that any three linear operators A, B, and Ĉ satisfy the following (Ja- cobi) identity (10 pt) [[A, B] Ĉ] + [[B,C), A] + [[C

, A, B) = 0
Physics
1 answer:
DerKrebs [107]4 years ago
7 0

Answer:

Three linear operators A,B, and C will satisfy the condition [[A, B],C] + [[B,C), A] + [[C, A], B] = 0.

Explanation:

According to the question we have to prove.

[[A, B],C] + [[B,C), A] + [[C, A], B] = 0

Now taking Left hand side of the equation and solve.

[[A, B],C] + [[B,C), A] + [[C, A], B]

Now use commutator property on it as,

=[A,B] C-C[A,B]+[B,C]A-A[B,C]+[C,A]B-B[C,A]\\=(AB-BA)C-C(AB-BA)+(BC-CA)A-A(BC-CB)+(CA-AC)B-B(CA-AC)\\=ABC-BAC-CAB+CBA+BCA-CAB-ABC+ACB+CAB-ACB-BCA+BAC\\=0

Therefore, it is proved that [[A, B],C] + [[B,C), A] + [[C, A], B] = 0.

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garri49 [273]

If Frank leaves Gainesville at 7:30 am, the time he should arrive in Tampa is 12.00 pm after spending 4 hours 30 minutes on the road.

<h3>What is average speed? </h3>

The average speed of an object is the ratio of total distance to total time of motion.

V = total distance/total time

For Frank to be in Tampa by noon, he must spend atleast 4 hours 30 minutes on the road.

18.3 mph = d/4.5 h

d = 82.35 miles

The distance between Gainesville  and Tampa is 82.35 miles.

Thus, we can conclude that, if Frank leaves Gainesville at 7:30 am, the time he should arrive in Tampa is 12.00 pm after spending 4 hours 30 minutes on the road.

Learn more about average speed here: brainly.com/question/6504879

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If you were to measure the number of liters of gas trapped in a bottle which of the following will you be describing
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B I'm pretty sure, took a test

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What is the magnitude of an electric field in which the electric force on a proton is equal in magnitude to its weight?Use 1.67×
vazorg [7]

The electric force on the proton is:

F = Eq

F = electric force, E = electric field strength, q = proton charge

The gravitational force on the proton is:

F = mg

F = gravitational force, m = proton mass, g = gravitational acceleration

Since the electric force and gravitational force balance each other out, set their magnitudes equal to each other:

Eq = mg

Given values:

q = 1.60×10⁻¹⁹C, m = 1.67×10⁻²⁷kg, g = 9.81m/s²

Plug in and solve for E:

E(1.60×10⁻¹⁹) = 1.67×10⁻²⁷(9.81)

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What is the purpose of control group ?
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Control group in a scientific experiment is a group separated from the rest of the experiment, it is where the independent variable being tested cannot influence the results. It isolates the independent variable's effects on the experiment and can helps rule out alternative explanations of the experimental results.
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if a car has a kinetic energy of 400 J at 20m/s what.is the cars kinetic energy in kJ at a speed of 5 m/s
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Kinetic energy is an expression of the fact that a moving object can do work on anything it hits; it quantifies the amount of work the object could do as a result of its motion. It can be calculated as:

 

KE = mv^2 /2

 

We calculate the problem as follows:

 

KE = mv^2 /2

400 = m(20)^2 / 2

<span>m = 2 kg</span>

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