Question: is the science of numbers and shape Answer:A: Mathematics Question: is the science of reasoning or explaining events Answer:A: Logic Question: is the study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition Answer:A: Logic Question: Given that 2 3 4 the Truth Value of this statement is Answer:A: false Question: Lagos is a cosmopolitan state The Truth Value of this is Answer:A: true Question: is used to analyze the Truth Value of any mathematical statement Answer:A: Truth Value Table Question: A statement or proposition in the context of logic is Answer:A: a declarative sentences or an expression of words which are either true or false but cannot assume both Question: The connective Rightarrow in logic is a Answer:A: conditional Question: The connective Lightrightarrow in logic is a Answer:A: bi implication Question: is said to be formed when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement Answer:A: An argument Question: What is the common difference in the sequence 3 5 7 9 11 Answer:A: 2 Question: Evaluate fracz1 3 2i z2 4 3i Answer:A: 359 Question: What is the distance between the points z1 and z2 given that z1 3 2i and z2 4 3i Answer:A: 2 Question: Find the unit vectors in the direction of the vector a4i3j Answer:A: 5 Question: Given that r1 3i 5 j r2 4i 19 j Find the modulus of 5r1 r2 Answer:A: 1992 Question: What is the magnitude of the vectors 3i 4 j Answer:A: 5 Question: If P T P and P F F implies Answer:A: Identity Laws Question: If p q q p and p q q p implies an Answer:A: Commutative Laws Question: is the use of connectives to combine two or more simple statements to form just one Answer:A: composite statement Question: The connective wedge in logic is a Answer:A: conjunction Question: Given that x 2y 3 3x 4y 1 What is x and y Answer:A: 5 4 Question: Which of the following statements is true Answer:A: pvee qwedge pvee rpveeqwedge r Question: A necessary and sufficient condition for a matrix square A to be invertible is that Answer:A: Aneq 0 Question: A matrix in which all its diagonal elements are one 1 where all other elements are zero is called Answer:A: identity matrix Question: The of a matrix is the inter changing of its row with the column Answer:A: transpose matrix Question: Let Abeginpmatrix123450214endpmatrix then the cofactor of matrix A is the matrix Answer:A: beginpmatrix20 16 16 5 23 1512 3endpmatrix Question: Calculate the determinant of the matrix Abeginpmatrix1234 50214endpmatrix Answer:A: 10 Question: Given that Abeginpmatrix123456endpmatrix and Bbeginpmatrix123 456endpmatrix What is AB Answer:A: ABbeginpmatrix22284964endpmatrix Question: What is the determinant of the Abeginpmatrix 12 3 4 endpmatrix Answer:A: 2 Question: reads the goods are standard if and only if the goods are expensive Answer:pleftrightarrow q Question: A matrix that has elements only on its diagonal is called Answer:diagonal matrix Question: pwedge q qvee p and pvee q qvee p implies an Answer:Commutative Laws Question: pvee qvee rpvee qvee r and pwedge qwedge r pwedge qwedge r implies an Answer:Associative laws Question: given thatAeginpmatrix1 2 3 4 5 6 endpmatrixand Beginpmatrix 1 2 3 4 5 6 endpmatrix Find AB Answer:eginpmatrix 5 12 15 19 26 31 29 40 51 endpmatrix Question: A matrix in which its transpose is equal to itself is called Answer:symmetric matrix Question: is equivalent to pvee q Answer:pleftrightarrow q Question: which of the following statement is true Answer:pvee qwedge pvee rpvee qwedge r Question: is a rectangular array of numbers with reference to specific rules governing the array Answer:Matrix Question: given thatAbeginpmatrix1 2 3 4 5 6 endpmatrixrnand Bbeginpmatrix 1 2 3 4 5 6 endpmatrixrn Find AB Answer:D: beginpmatrix 5 12 15 19 26 31 29 40 51 endpmatrix Question: Given that x 2y 3z 1 3x 2y z 4 x 3y 2z 0 What is xy and z Answer:74 3414 Question: What is the common difference in the sequence 3 5 7 9 11cdots Answer:2 Question: Given that Aeginpmatrix 2 0 1 k 2 3 2 1 4 endpmatrix what is the value of k if A is said to be a singular matrix Answer: 6 Question: Given that Aeginpmatrix 1 2 3 3 2 1 1 3 2 endpmatrix Find the determinant of A Answer:3 Question: let Aeginpmatrix 1 2 3 4 5 0 2 1 4 endpmatrix then the cofactor of matrix A is the matrix Answer:Aeginpmatrix 20 16 6 5 2 3 15 12 3 endpmatrix Question: A matrix is said to be singular if the determinant is equal to Answer:zero Question: Given that eginpmatrix 1 3 k 4 endpmatrix is singular matrix Find the value of k Answer:43 Question: A necessary and sufficient condition for a matrix square A to be invertible is that Answer:A is not equal zero Question: Calculate the determinant of the matrix Aeginpmatrix 1 2 3 4 5 0 2 1 4 endpmatrix Answer: 10 Question: Given that beginpmatrix 1 3 k 4 endpmatrix is singular matrix Find the value of k Answer:43 Question: Given that Abeginpmatrix 1 2 3 3 2 1 1 3 2 endpmatrix Find the determinant of A Answer:3 Question: Given that Abeginpmatrix 2 0 1 k 2 3 2 1 4 endpmatrix what is the value of k if A is said to be a singular matrix Answer: 6 Question: let Abeginpmatrix 1 2 3 4 5 0 2 1 4 endpmatrix then the cofactor of matrix A is the matrix Answer:Abeginpmatrix 20 16 6 5 2 3 15 12 3 endpmatrix Question: Calculate the determinant of the matrix Abeginpmatrix 1 2 3 4 5 0 2 1 4 endpmatrix Answer: 10 Question: Q1 Calculate the distance between the points: A(0,1) and B(6,9) Answer: 10 Question: Q2 Find the magnitude of the vector: \[5i-12j\] Answer: 13 Question: Q3 The addition of two vectors is defined by the Answer: triangular rule Question: Q4 The absolute value of a vector is Answer: that positive number which is a measure of the length of the directed segment Question: Q5 A vector, PQ drawn from a fixed point P which gives the displacement of the point Q from the point P is called �?��?�.. Answer: Position Vector Question: Q6 The inverse of a matrix A is given by Answer: \[A^{-1}=\frac{1}{|A|}Adj A\] Question: Q7 Quantity having magnitude only but no direction is called Answer: scalar Question: Q8 A physical quantity having magnitude and direction is known as Answer: vector Question: Q9 For what value of k would the matrix \[\begin{bmatrix}2k+1amp;5\\4amp;6\end{bmatrix}\] be singular? Answer: 2 Question: Q10 Let \[A=\begin{bmatrix}1amp;4\\3amp;1\end{bmatrix}\] and \[B=\begin{bmatrix}3amp;1\\2amp;k\end{bmatrix}\] Given that |AB| =121, find the value of k Answer: -3 Question: Q11 Let\[A=\begin{bmatrix}1amp;4\\3amp;1\end{bmatrix} \] and \[B=\begin{bmatrix}3amp;1\\2amp;k\end{bmatrix}\] evaluate |AB| Answer: 22-33k Question: Q12 What is the cofactor of element '-2' in \[\begin{bmatrix}2amp;-4amp;1\\-2amp;5amp;0\\3amp;-3amp;4\end{bmatrix}\] Answer: 13 Question: Q13 What is the cofactor of element '-3' in \[\begin{bmatrix}2amp;-4amp;1\\-2amp;5amp;0\\3amp;-3amp;4\end{bmatrix}\] Answer: 2 Question: Q14 Let \[A=\begin{bmatrix}xamp;2amp;b\\2amp;3amp;4\\bamp;4amp;y\end{bmatrix}\], then A is �?��?�.. Answer: Symmetric matric Question: Q15 Find the determinant of \[\begin{bmatrix}3amp;2amp;1\\-2amp;5amp;0\\3amp;-1amp;4\end{bmatrix}\] Answer: 63 Question: Q16 If the inverse of matrix B exists, then it is �?��?��?��?� Answer: unique Question: Q17 The transpose of the cofactor matrix of a square matrix B is called the�?��?��?��?�. of B Answer: adjoint Question: Q18 Determinant is a number associated with �?��?��?�.. Matrices Answer: square Question: Q19 A square matrix is called �?��?�.... if all the elements above the main diagonal vanish Answer: lower triangular Question: Q20 Two matrices A and B are said to be conformable for multiplication if Answer: the number of columns of A is same as the number of rows in B Question: Q21 Two matrices are said to be equal Answer: equal if their corresponding elements are the same Question: Q22 Any matrix of dimension (m x n) with all its elements equal to zero is called �?��?�.. Matrix Answer: Void Question: Q23 A matrix same as its transpose is Answer: symmetric Question: Q24 A diagonal matrix having all its diagonal element as one (1) is Answer: identity Question: Q25 A matrix having the same number of rows and columns is referred to as �?��?�.. Matrix Answer: square Question: Q26 A rectangular array of numbers with reference to specific rules governing the array is known as Answer: Matrix Question: Q27 The number of rows and the number of columns of a matrix determine its �?��?��?� Answer: all of the options Question: Q28 One of the following has truth value 'False" Answer: Ijebu-Ode is in Ogun State if and only if 4+3 = 6 Question: Q29 One of the following is not a connective in Logic Answer: Disjointion Question: Q30 The True value of Bi-conditional statement would be true Answer: if the two statements have the same Truth Value Question: Q31 Let p and q be two simple statements , then the following are conditional statements except Answer: p if and only if q Question: Q32 All but one of the statements have truth value true Answer: Ibadan is the capital of Oyo State or 4 + 3 = 6 Question: Q33 �?��?��?�. statement is the use of connectives to combine two or more simple statements to form just one Answer: Composite Question: Q34 �?��?��?��?� occurs when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement Answer: Argument Question: Q35 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 �?��?� Answer: Connectives Question: Q36 A declarative sentences or an expression of words which are either true or false, but cannot be both is called Answer: Proposition Question: Q37 One of these does not explain the objectives of logical reasoning Answer: It could be used to decode equivalent only Question: Q38 The Truth value of the statement 'Ijebu-Ode is in Lagos State' is �?�.. Answer: False Question: Q39 The study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition is known as �?��?��?� Answer: Logic Question: Q40 �?��?��?��?�.. can be used to depict or analyze the Truth Value of any mathematical statement Answer: Truth Value Table