PG-TRB MATHEMATICS UNIT-I-ALGEBRA PG-TRB MATERIALS TAMIL/ENGLISH/MATHS/COMMERCE/BOTANY/ CHEMISTRY/PHYSICS/HISTORY/ECONOMICS/ZOOLOGY

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1 COCHIG CETRE-TRICHY-PG-TRB- MTHEMTICS-LGEBR STUDY MTERIL- COTCT: 2018 PG-TRB MTHEMTICS UIT-I-LGEBR PG-TRB MTERILS TMIL/EGLISH/MTHS/COMMERCE/BOTY/ CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/ZOOLOGY POLICE EXM: TMIL/ GK/ SCIECE/ MTHS/ PSYCHOLOGY MTERIL VILBLE. LL TET / PGTRB / MTERILS RE SEDIG THROUGH COURIER. COTCT COCHIG CETRE-TRB-COMPUTER ISTRUCTORS MTERILS + QUESTIO BK VILBLE/TPSC CCSE GROUP- IV & VO MTERILS + QUESTIO BK VILBLE -. PDF processed : PGTRB with PG-TRB-MTHEMTICS CutePDF evaluation STUDY edition MTERIL +QUESTIO BK-VILBLE-. VILBLE-.

2 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. COCHIG CETRE-TRICHY. PGTRB-MTHEMTICS STUDY MTERIL UIT-I LGEBR GROUPS STUDY MTERIL VILBLE COTCT :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 14 PDF processed with CutePDF evaluation edition

3 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. 1.2 Groups: Definition and Elementary properties: ote: Examples :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 15

4 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Reversal Law Theorem1.2.3 of Cancellation Laws :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 16

5 Proof If possible x1 and x 2 are the solution of a*x =b. COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Then a* x1 =b and a* x2 =b Hence a* x1 = a* x2 implies x1 = x2 (By Left cancellation law) Try the other yourself! :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 17

6 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 18

7 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Binary operation: Properties: :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 19

8 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. *************************** -. TET/LL PGTRB MTERILS VILBLE :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 20

9 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Examples :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 21

10 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. (In the problem 4 the operation is +4, the addition modulo 4. a+4 b= r, the reminder obtained when a+b is divided by 4 ) :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 22

11 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page

12 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Result: Examples :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 24

13 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 25

14 COCHIG CETRE-PGTRBMTHEMTICS-STUDY of Distance Education MTERIL-COTCT:. Properties: If an ************************* FOLLOWIG STUDY MTERILS VILBLE-. :PGTRB :MTHS/TMIL/EGLISH/COMMERCE/CHEMISTRY/PHYSICS/HISTORY/ECOOMICS/BOTY. bstract MTERILS: TET/ LL PGTRB/ EEO/TRB-COMPUTER ISTRUCTORS VILBLE-COTCT:. lgebra Page 26

15 COCHIG CETRE-TET/LL PG-TRB/EEO/TRB COMPUTER ISTRUCTORS STUDY MTERILS D MODEL QUESTIO PPERS VILBLE - COTCT: TET/ PG-TRB / TPSC CCSE G-IV&VO GROUP 2 / EEO / POLYTECHIC-TRB TRB-COMPUTER ISTRUCTORS TUB-P0LICE-MTERILS VILBLE: TPSC CCSE GROUP-IV & VO STUDY MTERIL VILBLE. PGTRB MTERILS: PG TRB: EGLISH MTERIL (QUESTIO BK) PG TRB: MTHEMTICS MTERIL (QUESTIO BK) (E/M) PG TRB: PHYSICS MTERIL (QUESTIO BK) (E/M) PG TRB: CHEMISTRY MTEIL (QUESTIO BK) (E/M) PG TRB: COMMERCE (QUESTIO BK) (Tamil & English Medium) PG TRB: ECOOMICS MTERIL (QUESTIO BK) (T/M) PG TRB: HISTORY MTERIL (QUESTIO BK) (T/M) PG TRB: ZOOLOGY MTERIL (QUESTIO BK) (E/M) PG TRB: BOTY MTERIL (QUESTIO BK) (T/M)

16 COCHIG CETRE-TET/LL PG-TRB/EEO/TRB COMPUTER ISTRUCTORS STUDY MTERILS D MODEL QUESTIO PPERS VILBLE - COTCT: GOVT.POLYTECHIC TRB MTERILS: MTHEMTICS MTERIL with Question Bank EGLISH TERIL with Question Bank COMPUTER SCIECE/IT MTERIL with Question Bank ECE MTERIL with Question Bank. CHEMISTRY MTERIL with Question Bank PHYSICS MTERIL with Question Bank. TRB COMPUTER ISTRUCTORS COMPUTER SCIECE STUDY MTERIL VILBLE. POLICE EXM: STUDY MTERIL+ MODEL QUESTIOS 10% Discount for all materials. Materials are sending through COURIER. COTCT 2 3 THK YOU

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