### EDUCATION UPDATES

# MTH 105 TMA Questions & Answers

`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

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