Group Theory
Q21.
The set {1, 2, 4, 7, 8, 11, 13, 14} is a group under multiplication modulo 15. The inverses of 4 and 7 are respectively:Q22.
In a room containing 28 people, there are 18 people who speak English, 15, people who speak Hindi and 22 people who speak Kannada. 9 persons speak both English and Hindi, 11 persons speak both Hindi and Kannada whereas 13 persons speak both Kannada and English. How many speak all three languages?Q25.
The following is the incomplete operation table of a 4-element group. The last row of the table isQ26.
Let A be the set of all non-singular matrices over real number and let * be the matrix multiplication operation. Then