Q1 One of these is not a process involved in the Gauss elimination method

Q2 Every non-singular matrix A can be written as

Q3 The diagonal elements used as divisors are called

Q4 Using the Gauss Eliminating method, the elementary row operations include the following except

Q5 Find the product of $\begin{bmatrix}2&3&-1\end{bmatrix}$ and $\begin{bmatrix}1\\4\\2\end{bmatrix}$

Q6 The transpose of matrix $\begin{bmatrix}1&0&-7\\0&-2&3\\4&5&6\end{bmatrix}$

Q7 The inverse matrix of $\begin{bmatrix}2&3\\5&6\end{bmatrix}$

Q8 The determinant of $\begin{bmatrix}2&3\\5&6\\1&-7\end{bmatrix}$

Q9 The Lagrange form of interpolating polynomial can be determined for

Q10 The interpolating polynomial for a given data is �?��?�.

Q11 Any problem involving inverse interpolation can always be solved

Q12 �?��?��?�.. Theorem states that 'If f is a continuous function defined on [a, b] and differentiable on ]a, b[; and If f(a) = f(b), then there exists a number $x_{0}\; in; ]a, b[ \;such\; that \;f '(x_{0}) = 0$

Q13 One of the following describes Taylor's Theorem

Q14 $If\; z_1, z_2, �?�, z_k$ are distinct zeros of the polynomial P(x), then

Q15 All but one are not true of divided difference

Q16 This best describes the fundamental theorem of algebra

Q17 a polynomial P(x) of degree n which agrees with the values of f(x) at the given (n + 1) distinct points is known as �?��?�..

Q18 �?��?��?� is the process of determining the value of f(x) for a value of x lying outside the interval [a, b].

Q19 The technique of determining an approximate value of f(x) for a non-tabular value of x which lies in the interval [a, b] is known as �?��?��?�.

Q20 The eigenvalues of a diagonal matrix are �?��?��?�.

Q21 The inverse of a matrix A is given by

Q22 If AB = BA = I ,then A is the �?��?��?��?�.. of B

Q23 One of the following is not true

Q24 Iterative methods of the solutions of systems of equations are

Q25 Solve the system of equations: x + y + z = 1; 4x +3y - z = 6; 3x + 5y + 3z = 4

Q26 A system of linear equations is said to be �?��?�..... if it has at least one solution

Q27 A system of linear equations is said to be �?��?��?�.. if all its right hand side is zero

Q28 A system of linear equations is said to be �?��?��?�.. if no solution exists

Q29 A system of linear equations is said to be �?��?�... if not all its right hand side is zero

Q30 The following statements are true except

Q31 The zeroeth divided difference of the function f, with respect to $x_{i} \; denoted\; by\; f[x_{i}]$ can be written as

Q32 The interpolating polynomial of degree $\leq n\;with\; the\; nodes\; x_0, x_1, �?�., x_n$ can be written as

Q33 Stirling's formula for interpolation is given by

Q34 When the number of rows is equal to the number of columns in a matrix, it is called �?��?�. matrix

Q35 A matrix in which all the non-diagonal elements vanish is called �?�..... matrix.

Q36 The technique of determining an approximate value of f(x) for a non-tabular value of x which lies in the internal [a, b] is referred to as

Q37 One of these describes the Lagrange�??s interpolating polynomial P(x)

Q38 Iterative methods of the solutions of systems of equations are �?��?��?��?��?�..

Q39 One of these is a method of solving system of linear equations:

Q40 If all the elements above the main diagonal of a square matrix vanish, the matrix is known as