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Mathematics for Data Science I, Quiz 1
Let be a set of months of a particular year. Consider the following relations on the set .
From the below list of given terms find out the best possible options for each of the given subquestions:
R1 is _____________ . (Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them i.e., if your answer is 6 and 7, then you should enter 67]
Let $S = \{\text{Jan, Feb, March, April, May}\}$ be a set of months of a particular year. Consider the following relations on the set $S$. - $R_1 = \{\text{ (Feb, Feb), (March, April), (April, March), (March, March) }\}$ - $R_2 = \{\text{ (Jan, Jan), (Feb, Feb), (March, March), (April, April), (May, May) }\}$ From the below list of given terms find out the best possible options for each of the **given sub**questions: 1) Reflexive relation 2) Symmetric relation 3) Transitive relation 4) Not a equivalence relation 5) Not a function 6) Injective (One-one) function 7) Surjective (Onto) Function *R*1 is \_\_\_\_\_\_\_\_\_\_\_\_\_ . (Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them i.e., if your answer is 6 and 7, then you should enter 67\] Let $S = \{\text{Jan, Feb, March, April, May}\}$ be a set of months of a particular year. Consider the following relations on the set $S$. - $R_1 = \{\text{ (Feb, Feb), (March, April), (April, March), (March, March) }\}$ - $R_2 = \{\text{ (Jan, Jan), (Feb, Feb), (March, March), (April, April), (May, May) }\}$ From the below list of given terms find out the best possible options for each of the **given sub**questions: 1) Reflexive relation 2) Symmetric relation 3) Transitive relation 4) Not a equivalence relation 5) Not a function 6) Injective (One-one) function 7) Surjective (Onto) Function *R*2 is \_\_\_\_\_\_\_\_\_\_\_\_ . (Enter all correct options. Enter only the serial numbers of those options in increasing order without adding any comma or space in between them i.e., if your answer is 3 and 4, then you should enter 34) Let $S = \{\text{Jan, Feb, March, April, May}\}$ be a set of months of a particular year. Consider the following relations on the set $S$. - $R_1 = \{\text{ (Feb, Feb), (March, April), (April, March), (March, March) }\}$ - $R_2 = \{\text{ (Jan, Jan), (Feb, Feb), (March, March), (April, April), (May, May) }\}$ From the below list of given terms find out the best possible options for each of the **given sub**questions: 1) Reflexive relation 2) Symmetric relation 3) Transitive relation 4) Not a equivalence relation 5) Not a function 6) Injective (One-one) function 7) Surjective (Onto) Function Find the cardinality of the set (*S* × *S*) \\ *R*2.