Q1. The goal of forward elimination steps in the Naïve Gauss elimination method is to reduce the coefficient matrix to a (an) _____________ matrix.
diagonal identity lower triangular upper triangular Q2. Division by zero during forward elimination steps in Naïve Gaussian elimination of the set of equations [A][X]=[C] implies the coefficient matrix [A] is invertible nonsingular not determinable to be singular or nonsingular singular Q3. Using a computer with four significant digits with chopping, Naïve Gauss elimination solution to
is x1 = 26.66; x2 = 1.051 x1 = 8.769; x2 = 1.051 x1 = 8.800; x2 = 1.000 x1 = 8.771; x2 = 1.052 Q4. Using a computer with four significant digits with chopping, Gauss elimination with partial pivoting solution to
is x1 = 26.66; x2 = 1.051 x1 = 8.769; x2 = 1.051 x1 = 8.800; x2 = 1.000 x1 = 8.771; x2 = 1.052 Q5. At the end of forward elimination steps of Naïve Gauss Elimination method on the following equations
the resulting equations in the matrix form are given by
The determinant of the original coefficient matrix is 0.00
Q6. The following data is given for the velocity of the rocket as a function of time. To find the velocity at t=21 s, you are asked to use a quadratic polynomial, v(t)=at2+bt+c to approximate the velocity profile.
The correct set of equations that will find a, b and c are
Multiple choice questions on other topics
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