# MTH 105 TMA Questions & Answers

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Question: is the science of numbers and shape
Answer:A: Mathematics
Question: is the science of reasoning or explaining events
Answer:A: Logic
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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

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`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

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