Let T be the triangle with vertices (X I. )'1). (X! . )'1 ), and CI"J . )'J) , and [et A~[: :1 Let I be the matrix transformation defined by I(v) Av for a vector v in R2 . First. compute the vertices of f (T) and the image of T under I , and then show that the area of I(n is I det(A)1 . area of T .

CelltoCellCommunication 10/17/16 • Membranereviewofcells • Phospholipidbilayer • ProteinsandCarbohydrates • FunctionofPhospholipidBilayer § Maintainswhatgoesinandoutofthe cell § Whatcanmovebetween § Transmittingsignalsbetweencellsandtissues,andalsoinsidecells • Cellsignalsareimportantfor: • Growth • Stress • Infection • Nervoussignaling(receptorsand attachingtotargetcell) • Localcellsignaling • Twocellsessentially“attached” • Plasmamembrane • Cellssharecytoplasm § Cytoplasmmovesfreelythroughoutbothcells • Cellsdon’thavetobeattachedtotransmitsignals • Outside-celltransmitting • Direct(juxtacrine)signaling • Signalsadjacent(touching)cells • Gapjunctions • Cell-cellmembraneembeddedreceptor • Localcellsignalingcontinued • Paracrine:whenacelltargetsanearbycell • Autocrine:whenacelltargetsitself • Paracrine • Acetylcholine:neurotransmitterthattriggersmusclemovement • Bittenbycobra:blockssignaling § Long-distancesignaling • Localsignaling:Biofilms • Biofilm:groupofmicroorganismsadheringtosu