plz solve question 5 with explanation within 30-40 mins 18. Two matrices A and B are said to anticommute if AB = - BA. If A and B areanticommuting 3 × 3 matrices, show that one or the other is noninvertible.5. Three bodies having masses m,, m2, and m; are placed at the respective points(-1,1), (-1, – 1), and (2, 1). Suppose that the center of gravity of the configura-tion is at (0,0), and that the sum of the masses is 1. Find m1, m2, and m3.1. The following is a list of sets with operations of addition and scalar multiplicationdefined on them. For each set, show that the set, together with its indicatedoperations, forms a vector space over the reals.(b) The real matrices of the form[: :]with the usual addition and scalar multiplication.(g) Differentiable functions on the interval (0,1) with(f + 8)(x) = f(x) + g(x)(af)(x) = a( f(x))(the usual addition and scalar multiplication for functions)

Answered: Image /qna-images/answer/a79d8edd-1fe3-454d-9d26-8024c11017b3.jpg

5. Three bodies having masses m,, m2, and m3 are placed at the respective points (-1,1), (–1, – 1), and (2,1). Suppose that the center of gravity of the configura- tion is at (0,0), and that the sum of the masses is 1. Find mị, m2, and m3.

5. Three bodies having masses m,, m2, and m3 are placed at the respective points (-1,1), (–1, – 1), and (2,1). Suppose that the center of gravity of the configura- tion is at (0,0), and that the sum of the masses is 1. Find mị, m2, and m3.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom

Section: Chapter Questions

Problem 65P

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