# MTH213 TMA Questiona and Answers

**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**

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