X, Y and Z be subsets of the set . Verify the following propert XU(YUZ) = (XUY)UZ, XN(YnZ) = (XnY) nz Xu(YNZ) = (XUY)N(XUZ), XN(YUZ) = (XnY XCY⇒XUY=Y⇒XnY=X

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 14EQ
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X, Y and Z be subsets of the set . Verify the following properties:
XU(YUZ) = (XUY)UZ, Xn(Y_Z) = (XnY)nz (Associativi
XU(YNZ) = (XUY)N(XUZ), XN(Yuz)=(XNY)u(XNZ)
XcY+XUY=Y+X Y=X
Transcribed Image Text:X, Y and Z be subsets of the set . Verify the following properties: XU(YUZ) = (XUY)UZ, Xn(Y_Z) = (XnY)nz (Associativi XU(YNZ) = (XUY)N(XUZ), XN(Yuz)=(XNY)u(XNZ) XcY+XUY=Y+X Y=X
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