Q3.(a) Let X{m,n, p, q}, and E= {ø, X, {m}, {n}, {p,q}, {m, n}, {n, p, q}, {m, p, q}}.Is a sigma algebra over X ?(b) Define the function m :),• [0, 0) by1 if mEА0 if m¢ AProve that um :> → [0, ) is a measure over(c) Determine um({m, p, q}\{n, p, q}).„(A) = {Σ

Name: Q3.(a) Let X{m,n, p, q}, and E= {ø, X, {m}, {n}, {p,q}, {m, n}, {n, p
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Description: Q3.(a) Let X{m,n, p, q}, and E= {ø, X, {m}, {n}, {p,q}, {m, n}, {n, p, q}, {m, p, q}}.Is a sigma algebra over X ?(b) Define the function m :),• [0, 0) by1 if mEА0 if m¢ AProve that um :> → [0, ) is a measure over(c) Determine um({m, p, q}\{n, p, q})

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(a) Let X = {m, n, p, q}, and = {ø, X, {m}, {n}, {p, q}, {m, n}, {n, p, q}, {m,p, q}}. Is a sigma algebra over X ? (b) Define the function Hm :- [0, 0) by S1 if me A Hm(A) ={ 0 if m¢ A Prove that um :) → [0, ∞) is a measure over (c) Determine um({m, p, q}\{n,P, q}). Σ

(a) Let X = {m, n, p, q}, and = {ø, X, {m}, {n}, {p, q}, {m, n}, {n, p, q}, {m,p, q}}. Is a sigma algebra over X ? (b) Define the function Hm :- [0, 0) by S1 if me A Hm(A) ={ 0 if m¢ A Prove that um :) → [0, ∞) is a measure over (c) Determine um({m, p, q}\{n,P, q}). Σ

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter6: Vector Spaces

Section6.5: The Kernel And Range Of A Linear Transformation

Problem 30EQ

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