**The general problem of finding equations of approximating curves which fit a given**

**data is called______.**

a. curve fitting.

b. approximating curve.

c. empirical relation.

d. linear form.

Answer: A

**The best representative curve to the set of point is that for which E the sum of the**

**squares of the residuals is a minimum. This is known as______.**

a. curve fitting.

b. empirical relation.

c. linear form.

d. principles of least squares.

Answer: D

**The ______ matrix in the normal** **equations is symmetric.**

a. square.

b. scalar .

c. co-efficient.

d. upper triangular.

Answer: C

**In a ordinary differential equations the first category method is______.**

a. Taylor Method .

b. Euler Method.

c. Runge-Kutta Method.

d. Pointwise Method.

Answer: A

**A _____ of differential equations is a function which satisfies the differential**

**equations.**

a. solution.

b. general solution.

c. particular solution.

d. complete solution.

Answer: A

**A _____ of differential equation is a solution got form the general solution by giving particular values to the arbitrary constant.**

a. solution.

b. general solution.

c. particular solution.

d. complete solution.

Answer: C

**For unequal intervals, we can use _____ to get the derivative value.**

a. Newton Forward Interpolation Formula.

b. Newton Backward Interpolation Formula.

c. Newton Forward Difference Formula.

d. LaGrange’s Interpolation Formula.

Answer: D

**To find the derivative at the end of the table we use ______ formula.**

a. Newton Forward differentiation Formula.

b. Newton Backward differentiation Formula.

c. Newton Forward Difference Formula.

d. LaGrange’s Interpolation Formula.

Answer: B

**If the derivative is required at a point to the starting value in the table, we use___ formula.**

a.Newton Forward differentiation formula.

b.Newton Backward differentiation Formula.

c.Newton Forward Difference Formula.

d.LaGrange’s Interpolation Formula.

Answer: A

**______ rule is derived from Newton’s Cotes Formula.**

a. Trapezoidal rule.

b. Simpson’s (1/3)rd rule.

c. Romberg’s Integration.

d. Simpson’s (3/8)th rule.

Answer: A

**The degree of y(x) in Trapezoidal Rule is _______.**

a. 1.

b. 2.

c. 3.

d. 6.

Answer: A

**The degree of y(x) in Simpson’s (1/3)rd Rule is ______.**

a. 1.

b. 2.

c. 3.

d. 6.

Answer: B

**The degree of y(x) in Simpson’s (3/8)th is________.**

a. 1.

b. 2.

c. 3.

d. 6.

Answer: C

**Interpolating polynomial is also known as______.**

a. smoothing function.

b. interpolating function.

c. collocation polynomial.

d. interpolating formula.

Answer: C

**In Lagrange’s interpolation formula, the value of lo(x) = _____.**

a. x1 x0 . x x0

b. x x1 . x0 x1

c. x x1 . x x0

d. x1 x0 . x2 x0

Answer: B

**In Lagrange’s interpolation formula, the value of l1(x1) = _____.**

a. 0.

b. 1.

c. 2.

d. 3.

Answer: B

**x4 x0**

a. h2 { y0 +2(y1+ y2+ y3)+ y4}.

b. h3 { y0 +2(y1+ y2+ y3)+ y4}.

c. h2 { y0 +2y1+ 4(y2+ y3)+ y4}.

d . h2 { y 0 + y 1 + y 2 + y 3 + y 4 } .

Answer: A

**Backward substitution method is applied in ______.**

a.Gauss-Jordan Method.

b.Gauss-Seidal Method.

c. Newton-Raphson Method.

d. Gauss Elimination Method.

Answer: D

**If a set of numerical values of the integral f(x), a single valued function, is applied to b f (x)dx , then the process is known as_____. a**

a. a numerical integration.

b. quadrate.

c. interpolation.

d. a numerical differentiation.

Answer: A

**The Trapezoidal rule for ydx =______.**

a. straight line.

b. ellipse.

c. chord.

d. tangent line.

Answer: C

**Simpson’s rule will give exact result, if the entire curve y=f(x) is itself a ____.**

a. straight line.

b. chord.

c. parabola.

d. tangent line.

Answer: C

**Taylors series method will be very useful to give some initial starting values for**

**powerful methods such as _____.**

a. Euler Method.

b. Runge-Kutta Method.

c. Newton-Raphson Method.

d. Gauss Elimination Method.

Answer: B

**Each of the mn numbers constituting an m*n matrix is called an _____ of the matrix.**

a. square.

b. rectangle.

c. diagonal.

d. element.

Answer: D

**The matrix obtained from any given matrix by interchanging its row and column is**

**called the _____of a matrix.**

a. square.

b. rectangle.

c. diagonal.

d. transpose.

Answer: D

**A matrix which is not necessarily a square matrix is called a _____matrix.**

a. square.

b. rectangular.

c. diagonal.

d. transpose.

Answer: B

**In the product AB, the matrix A is called ______.**

a. product of the first matrix.

b. product of the second matrix.

c. prefactor.

d. postfactor.

Answer: C

**The ______ of a matrix is the largest order of a non-zero minor of the matrix.**

a. square.

b. scalar.

c. symmetric.

d. rank.

Answer: D

**IfA= 0 1 andB= 1 0**

a. 0 1 00

b.1 0 00

c. 1 1 00

d.0 0 00

**If A = 2 -1**

a. 4.

b.8.

c. 0.

d.-4.

Answer: C

**The rank of cd then the determinant of A is ______.** **0 0** **0 0** **then AB=_____.**

a. a -b cd

b.a -b -c d

c. d b cd

d. d –b -c a

Answer: D

**Inarankmatrix (A)is______.**

a.(1) (A)= (m,n).

b.(2) (A)=min (m,n).

c.(3) (A)≤ min (m,n).

d.(4) (A)≥min(m,n).

Answer: C

**Every homogeneous system of linear equation is always consistent and this solution is called ____.**

a. unique solution.

b. no solution.

c. trivial solution.

d. non-trivial solution.

Answer: C

** The number of elements in a square matrix of order n is _______. **

a. n.

b. n+2.

c. n-2.

d. n2.

Answer: D

**Every square matrix A of order n with entries as real or complex numbers then the number is called_____ of matrix A.**

a. rank.

b. adjoint.

c. inverse.

d. determinant.

Answer: D

**If A is of order m*n then AT is of order______.**

a. m*n.

b. m/n.

c. n/m.

d. n*m.

Answer: D

**If A is any square matrix of order n then kA=______.**

a. k A .

b. knA.

c. kAn .

d.kn A.

Answer: D

**If the determinant of**

**0 1 0 x 2 x 13x**

a. -2.

b. 1.

c. -1.

d. 2.

Answer: B

**The sum of the diagonal elements of a square matrix is called______.**

a. scalar matrix.

b. trace.

c. unit matrix.

d. diagonal matrix.

Answer: B

**Zero is a characteristic root of a matrix if and only if the matrix is ______.**

a. eigen-vector.

b. eigen-value.

c. rank of matrix.

d. singular matrix.

Answer: D

**The product of all Eigen values of A is =________.**

a. adjoint of A.

= 0 then x=________.

b. eigen-vector of A.

c. co-factor of A.

d. determinant of A.

Answer: D

**The Eigen value of the matrix**

**1 -2 -5 4**

a. (1,6).

b. (1,-6).

c. (-1,6).

d. (-1,-6).

Answer: C

**The inverse of a square matrix can be computed by _________.**

a. eigen-vector.

b. adjoint of a matrix.

c. eigen-values.

d. Cayley-Hamilton theorem.

Answer: D

**The Eigen value of** **1 2**

**4 3 is______.**

a. (1,5).

b. (1,-5).

c. (-1,5).

d. (-1,-5).

Answer: C

**The latent roots of a ______matrix are just the diagonal elements of the matrix.**

a. scalar.

b. diagonal.

c. triangular.

d. singular.

Answer: C

**The latent roots of a _____ matrix are of unit modulus.**

a. unit.

b. inverse.

c. orthogonal.

d. adjoint.

Answer: C

**______can be determined in two ways by inspection and by grouping methods.**

a. range.

b. correlation.

c. mode.

d. regression.

Answer: C

**Given observations are arranged in ascending or descending order of magnitude in**

**_______.**

a. arithmetic mean.

b. median.

c. geometric mean.

d. harmonic mean.

Answer: B

**______is often computed when quick estimates of average are desired.**

a. arithmetic mean.

b. median.

c. geometric mean.

d. harmonic mean.

Answer: B

**______ is used in the construction of index numbers.**

a. arithmetic mean.

b. median.

c. geometric mean.

d. harmonic mean.

Answer: C