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Let alpha=(2kpi)/(2025),beta=(2mpi)/(2026)"and " gamma=(2kpi)/(2027)where k,m,n in Z. A=((cosalpha,-sinalpha),(sinalpha,cosalpha)), B= ((cosbeta,-sinbeta),(sinbeta,cosgamma)) C=((sin gamma, -sin gamma),(sin gamma, cos gamma)) then det (A^(2025)+B^(2026)+C^(2027)) is equal to _______ |
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