TMA1/MTH101 – Elementary Mathematics I TMA 1 QUESTIONS AND ANSWERS

TMA Quiz Questions

TMA: TMA1/MTH101
MTH101 – Elementary Mathematics I
Mr. Olorunnishola Toyin ([email protected] )

1 Any bunch of numbers is a _____ ,so long as the numbers come in pairs.

A. group
B. domain
C. axiom
D. relation  

2 A ___ is just a set of ordered pairs.

A. sets
B. functions
C. partition
D. relation  

3 Let N ={1,2,3,4,5,……….}, E = {2,4,6,…….}, F = {1,3,5,……..}. Then, {E,F} is a _____ of N.

A. functions
B. partition  
C. relation
D. sets

4 A relation is a _____ ordering,if it is reflexive,anti- symmetric and transitive.

A. partial  
B. complex
C. group
D. equal

5 A relation is a set of an ______ relation,if it is reflexive,transitive and symmetric.

A. simple
B. equal
C. balance
D. equivalence  

6 Solve for x and y: 3x + 4y = 9, 2x + 3y =8

A. x = 7.5, y = – 4. 5  
B. x = 7.0, y = – 4. 5
C. x = 4.5, y = – 7. 5
D. x = 7.5, y = – 4. 1

7 If A.x=
λx
λx
,where A=
∣∣∣∣211232−212∣∣∣∣
|22−2131122|
,determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
λ=2
,what is b

A. {0,1,0}
B. {3,0,2}
C. {2,0,1}
D. {0,1,1}  

8 If A.x=
λx
,where A=
∣∣∣∣211232−212∣∣∣∣
,determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
λ=4
,what is c

A. {2,3,0}
B. {-2,1,1}
C. {2,1,1}  
D. {3,2,6}

9 Solve the set of linear equations by the matrix method : a+3b+2c=3 , 2a-b-3c= -8, 5a+2b+c=9. Sove for c

A. 2  
B. 1
C. 5
D. 7

10 If A.x=
λx
,where A=
∣∣∣∣211232−212∣∣∣∣
,determine the eigen values of the matrix A, and an eigen vector corresponding to each eigen value. If
λ=1
,what is a

A. {-2,1,0}  
B. {3,5,2}
C. {1,0,0}
D. {2,1,4}