1) It is a mathematical tool used to solve numerical problems in numerical analysis that provides approximate answer and error estimate. a) Numerical Method b) Scientific Method c) Analytical Method d) Statistical Method 2) Which of the following is an iterative method? a) Gauss Seidel b) Gauss Jordan c) Factorization d) Gauss Elimination 3) Which of the following transformations are allowed in the Gauss Jordan method? a) Swapping a column b) Swapping two rows c) Swapping two colums d) Swapping a row 4) Gauss Seidel method is also termed as a method of _______ a) Iteration b) False positions c) Successive displacement d) Elimination 5) what is the value of the determinant a) -56 b) -58 c) -54 d) -66 6) Newton- Raphson method is applicable to the solution of? a) Both algebraic and transcendental Equation  b) Both algebraic and transcendental and also used when the roots are complex c) Algebraic equation only d) Transcendental equation only 7) It is a matrix with all its elements are zero a) Identity Matrix b) Rectangular Matrix c) Row Matrix d) Null Matrix 8) It is the identity element of multiplication a) zero b) one c) two d) four 9) Cramer's Rule fails for a) Determinant = 0 b) Determinant = non- real c) Determinant < 0 d) Determinant > 0 10) The ____ of a square matrix A is the matrix A-1 such that A x A-1 = I. a) Determinant b) Inverse c) Element d) Size 11) Matrix inverse in for systems of equation is used to determine which of the following? a) Identified set of equation b) Variable set of equation c) Solution set of equation d) Constant set of equation 12) A matrix that has only one column and one or more rows a) Row Matrix b) Diagonal Matrix c) Column Matrix d) Square Matrix 13) Numerical techniques more commonly involve____  a) Elimination method b) Reduction method c) Iterative method d) Direct method 14) He is the father of Matrices a) George Dantzig b) Arthur Cayley c) Archimedes d) Muhammad ibn Musa al-khwarizmi 15) Matrix which does not have an inverse by solving it, is classified as which of the following? a) Unidentified matrix b) Linear matrix c) Non- singular matrix d) Singular matrix 16) Newton- Raphson method is used to find the root of the equation x2-2=0. If iterations are started from -1, then iteration will be a) Converge to -1 b) Converge to √2 c) Converge to -√2 d) No converge 17) It uses the idea that a straight line tangent can approximate a continuous and differentiable function a) Gauss- Jacob b) Gauss- Seidel c) Newton- Raphson d) Bracketing Method 18) Identify the Row Matrix a) b) c) d) 19) Identify the Scalar Matrix a) b) c) d) 20) What is the slope of the function f(x) = 9. a) 2 b) 3 c) 0 d) 1 21) The converge of which of the following method is sensitive to starting value? a) Newton- Raphson method b) False position c) Gauss- Seidel method d) All of these 22) If the number of rows of a matrix is the same as the number of its column,then it is called. a) Inverse of a matrix b) Square matrix c) Row vector d) Column 23) Which of the following is also known as the Newton Raphson method? a) Chord b) Tangent method c) Diameter method d) Secant method 24) The entry which is a number, symbol, or expression in a matrix is called the_____ of the matrix. a) Size b) Inverse c) Element d) Determinant 25) It is a finite sequence or set of steps, instructions, or rules to be followed in order to accomplish a certain task or to solve a particular problem that involve calculation or computation a) Mathematical model b) Algorithm c) Numerical analysis d) Error 26) The term scalar multiplication refers to the product of a real number and a matrix. a) True b) False 27) If AB =O, then either A or B must be the zero matrix a) True b) False 28) The commutative property of multiplication holds in matrices. a) False b) True 29) The inverse of a matrix exists if and only if it is a non- singular matrix a) True b) False 30) Non square matrices do not have inverse. a) False b) True

Numerical Method

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