## NOUN TMA Questions & Answers: MTH105 - Mathematics for Management Sciences I

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### NOUN TMA Questions & Answers: MTH105 - Mathematics for Management Sciences I

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1 Calculate the distance between the points: A(0,1) and B(6,9)

10

2 Find the magnitude of the vector: $5i-12j$

13

3 The addition of two vectors is defined by the

triangular rule

4 The absolute value of a vector is

that positive number which is a measure of the length of the directed segment

5 A vector, P drawn from a fixed point P which gives the displacement of the point from the point P is called 􀳦?􀳦􀳦?􀳦..

Position Vector

6 The inverse of a matrix A is given by

$A^{-1}=\frac{1}{|A|}Adj A$

7 uantity having magnitude only but no direction is called

scalar

8 A physical uantity having magnitude and direction is known as

vector

9 For what value of k would the matrix $\begin{bmatrix}2k+1&5\\4&6\end{bmatrix}$ be singular?

2

10 Let $A=\begin{bmatrix}1&4\\3&1\end{bmatrix}$ and \
Given that |AB| =121, find the value of k

-3

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### Re: NOUN TMA Questions & Answers: MTH105 - Mathematics for Management Sciences I

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11 Let$A=\begin{bmatrix}1&4\\3&1\end{bmatrix}$ and \
evaluate |AB|

22-33k

12 What is the cofactor of element '-2' in $\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}$

13

13 What is the cofactor of element '-3' in $\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}$

2

14 Let $A=\begin{bmatrix}x&2&b\\2&3&4\\b&4&y\end{bmatrix}$, then A is 􀳦?􀳦􀳦?􀳦..

Symmetric matric

15 Find the determinant of $\begin{bmatrix}3&2&1\\-2&5&0\\3&-1&4\end{bmatrix}$

63

16 If the inverse of matrix B exists, then it is 􀳦?􀳦􀳦?􀳦􀳦?􀳦􀳦?􀳦

uniue

17 The transpose of the cofactor matrix of a suare matrix B is called the􀳦?􀳦􀳦?􀳦􀳦?􀳦􀳦?􀳦. of B

18 Determinant is a number associated with 􀳦?􀳦􀳦?􀳦􀳦?􀳦.. Matrices

square

19 A suare matrix is called 􀳦?􀳦􀳦?􀳦.... if all the elements above the main diagonal vanish

lower triangular

20 Two matrices A and B are said to be conformable for multiplication if

the number of columns of A is same as the number of rows in B

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### Re: NOUN TMA Questions & Answers: MTH105 - Mathematics for Management Sciences I

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31 Let p and be two simple statements , then the following are conditional statements except

p if and only if q

32 All but one of the statements have truth value true

Ibadan is the capital of Oyo State or 4 + 3 = 6

33 􀳦?􀳦􀳦?􀳦􀳦?􀳦. statement is the use of connectives to combine two or more simple statements to form just one

Composite

34 􀳦?􀳦􀳦?􀳦􀳦?􀳦􀳦?􀳦 occurs when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement

Argument

35 Expressions, phrases or symbols that are made used of, to join two or more simple statements together in order to form a compound statement are called 􀳦?􀳦􀳦?􀳦

Connectives

36 A declarative sentences or an expression of words which are either true or false, but cannot be both is called

Proposition

37 One of these does not explain the objectives of logical reasoning

It could be used to decode euivalent only

38 The Truth value of the statement 'Ijebu-Ode is in Lagos State' is 􀳦?􀳦..

False

39 The study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition is known as 􀳦?􀳦􀳦?􀳦􀳦?􀳦

Logic

40 􀳦?􀳦􀳦?􀳦􀳦?􀳦􀳦?􀳦.. can be used to depict or analyze the Truth Value of any mathematical statement

Truth Value Table

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### Re: NOUN TMA Questions & Answers: MTH105 - Mathematics for Management Sciences I

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21 Two matrices are said to be eual

equal if their corresponding elements are the same

22 Any matrix of dimension (m x n) with all its elements eual to zero is called 􀳦?􀳦􀳦?􀳦.. Matrix

Void

23 A matrix same as its transpose is

symmetric

24 A diagonal matrix having all its diagonal element as one (1) is

identity

25 A matrix having the same number of rows and columns is referred to as 􀳦?􀳦􀳦?􀳦.. Matrix

square

26 A rectangular array of numbers with reference to specific rules governing the array is known as

Matrix

27 The number of rows and the number of columns of a matrix determine its 􀳦?􀳦􀳦?􀳦􀳦?􀳦

dimension
size
order
*** all of the options

28 One of the following has truth value 'False"

Ijebu-Ode is in Ogun State if and only if 4+3 = 6

29 One of the following is not a connective in Logic

Disjointion

30 The True value of Bi-conditional statement would be true

if the two statements have the same Truth Value

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