MTH105 TMA Solution Question and Answer
Q1 Calculate the distance between the points: A(0,1) and B(6,9)
Q2 Find the magnitude of the vector: \[5i-12j\]
Q3 The addition of two vectors is defined by the
Q4 The absolute value of a vector is
Q5 A vector, PQ drawn from a fixed point P which gives the displacement of the point Q from the point P is called ……..
Q6 The inverse of a matrix A is given by
Q7 Quantity having magnitude only but no direction is called
Q8 A physical quantity having magnitude and direction is known as
Q9 For what value of k would the matrix \[\begin{bmatrix}2k+1&5\\4&6\end{bmatrix}\] be singular?
Q10 Let \[A=\begin{bmatrix}1&4\\3&1\end{bmatrix}\] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] Given that |AB| =121, find the value of k
Q11 Let\[A=\begin{bmatrix}1&4\\3&1\end{bmatrix} \] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] evaluate |AB|
Q12 What is the cofactor of element '-2' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
Q13 What is the cofactor of element '-3' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
Q14 Let \[A=\begin{bmatrix}x&2&b\\2&3&4\\b&4&y\end{bmatrix}\], then A is ……..
Q15 Find the determinant of \[\begin{bmatrix}3&2&1\\-2&5&0\\3&-1&4\end{bmatrix}\]
Q16 If the inverse of matrix B exists, then it is …………
Q17 The transpose of the cofactor matrix of a square matrix B is called the…………. of B
Q18 Determinant is a number associated with ……….. Matrices
Q19 A square matrix is called …….... if all the elements above the main diagonal vanish
Q20 Two matrices A and B are said to be conformable for multiplication if
Q21 Two matrices are said to be equal
Q22 Any matrix of dimension (m x n) with all its elements equal to zero is called …….. Matrix
Q23 A matrix same as its transpose is
Q24 A diagonal matrix having all its diagonal element as one (1) is
Q25 A matrix having the same number of rows and columns is referred to as …….. Matrix
Q26 A rectangular array of numbers with reference to specific rules governing the array is known as
Q27 The number of rows and the number of columns of a matrix determine its ………
Q28 One of the following has truth value 'False"
Q29 One of the following is not a connective in Logic
Q30 The True value of Bi-conditional statement would be true
Q31 Let p and q be two simple statements , then the following are conditional statements except
Q32 All but one of the statements have truth value true
Q33 ………. statement is the use of connectives to combine two or more simple statements to form just one
Q34 ………… occurs when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement
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 ……
Q36 A declarative sentences or an expression of words which are either true or false, but cannot be both is called
Q37 One of these does not explain the objectives of logical reasoning
Q38 The Truth value of the statement 'Ijebu-Ode is in Lagos State' is …..
Q39 The study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition is known as ………
Q40 ………….. can be used to depict or analyze the Truth Value of any mathematical statement
Q2 Find the magnitude of the vector: \[5i-12j\]
Q3 The addition of two vectors is defined by the
Q4 The absolute value of a vector is
Q5 A vector, PQ drawn from a fixed point P which gives the displacement of the point Q from the point P is called ……..
Q6 The inverse of a matrix A is given by
Q7 Quantity having magnitude only but no direction is called
Q8 A physical quantity having magnitude and direction is known as
Q9 For what value of k would the matrix \[\begin{bmatrix}2k+1&5\\4&6\end{bmatrix}\] be singular?
Q10 Let \[A=\begin{bmatrix}1&4\\3&1\end{bmatrix}\] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] Given that |AB| =121, find the value of k
Q11 Let\[A=\begin{bmatrix}1&4\\3&1\end{bmatrix} \] and \[B=\begin{bmatrix}3&1\\2&k\end{bmatrix}\] evaluate |AB|
Q12 What is the cofactor of element '-2' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
Q13 What is the cofactor of element '-3' in \[\begin{bmatrix}2&-4&1\\-2&5&0\\3&-3&4\end{bmatrix}\]
Q14 Let \[A=\begin{bmatrix}x&2&b\\2&3&4\\b&4&y\end{bmatrix}\], then A is ……..
Q15 Find the determinant of \[\begin{bmatrix}3&2&1\\-2&5&0\\3&-1&4\end{bmatrix}\]
Q16 If the inverse of matrix B exists, then it is …………
Q17 The transpose of the cofactor matrix of a square matrix B is called the…………. of B
Q18 Determinant is a number associated with ……….. Matrices
Q19 A square matrix is called …….... if all the elements above the main diagonal vanish
Q20 Two matrices A and B are said to be conformable for multiplication if
Q21 Two matrices are said to be equal
Q22 Any matrix of dimension (m x n) with all its elements equal to zero is called …….. Matrix
Q23 A matrix same as its transpose is
Q24 A diagonal matrix having all its diagonal element as one (1) is
Q25 A matrix having the same number of rows and columns is referred to as …….. Matrix
Q26 A rectangular array of numbers with reference to specific rules governing the array is known as
Q27 The number of rows and the number of columns of a matrix determine its ………
Q28 One of the following has truth value 'False"
Q29 One of the following is not a connective in Logic
Q30 The True value of Bi-conditional statement would be true
Q31 Let p and q be two simple statements , then the following are conditional statements except
Q32 All but one of the statements have truth value true
Q33 ………. statement is the use of connectives to combine two or more simple statements to form just one
Q34 ………… occurs when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement
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 ……
Q36 A declarative sentences or an expression of words which are either true or false, but cannot be both is called
Q37 One of these does not explain the objectives of logical reasoning
Q38 The Truth value of the statement 'Ijebu-Ode is in Lagos State' is …..
Q39 The study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition is known as ………
Q40 ………….. can be used to depict or analyze the Truth Value of any mathematical statement
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