Q. Let X = {m, n}, and = {¢, X, {m}, {n}}.Define the function :>→ [0, 0) byS 3 if ne AHn(A) =3 0 if n¢ Athena. Hn is a measure and µ„({m,n}\{n}) = 0b. µ„ is not a measure.C. Mn is a measure and µ,({n}\{m}) = 3d. None of these.alP.

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Q. Let X = {m, n}, and = {ø, X, {m}, {n}}. → [0, 00) by Define the function u : 3 if n € A 0 if n¢ A a. Hn is a measure and µ„ ({m,n}\{n}) = 0 Hn (A) = then b. u, is not a measure. C. Hn is a measure and u, ({n}\{m}) = 3 d. None of these. a

Q. Let X = {m, n}, and = {ø, X, {m}, {n}}. → [0, 00) by Define the function u : 3 if n € A 0 if n¢ A a. Hn is a measure and µ„ ({m,n}\{n}) = 0 Hn (A) = then b. u, is not a measure. C. Hn is a measure and u, ({n}\{m}) = 3 d. None of these. a

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

Q. Let X = {m, n}, and = {¢, X, {m}, {n}}.
Define the function :>→ [0, 0) by
S 3 if ne A
Hn(A) =3 0 if n¢ A
then
a. Hn is a measure and µ„({m,n}\{n}) = 0
b. µ„ is not a measure.
C. Mn is a measure and µ,({n}\{m}) = 3
d. None of these.
al
P.

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