MAE 284 EXAM 2 STUDY QUESTIONS
WITH VERIFIED ANSWERS. A+ GRADE
2025/2026.
Simpson's 3/8 rule will result in zero error for a ____ - ANS first-order polynomial
second-order polynomial
third-order polynomial
Quadrature is another name for integration - ANS true
One way to increase the accuracy of Newton-Cotes integration techniques is to increase the
number of segments - ANS true
How many points would we need to determine a double integral using Simpson's 1/3 rule? -
ANS 9
The Guass Quadrature formulas discussed in class are called Gauss-Legendre formulas -
ANS True
Romberg's method can be used to combine two O(h^2) estimates of the integral to obtain a
single O(h^4) estimate - ANS True
1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, An upper triangular matrix is an echelon matrix - ANS True
Only Square matrices have determinants - ANS True
|ab|=0
| 2a 2b | - ANS true
Gauss Elimination is the systematic process of removing unknowns using forward elimination
followed by back substitution to obtain the unknown values - ANS True
Naive Gauss elimination can fail due to division by zero - ANS true
A system of equations can be written in form Ax=b, where A is a square matrix, x is a vector of
unknowns, and b is a vector of constants - ANS true
|00|=b
| a b | - ANS false
If one row of a matrix is a linear combination of two other rows, then the determinant is zero -
ANS True
Cramers Rule can be used to solve a system of equations - ANS True
Naive Gausss Elimination fails if the pivot element is zero - ANS True
Two applications where numerical integration is used are integrating discrete data points and
when it is difficult to obtain closed form solution - ANS true
2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
WITH VERIFIED ANSWERS. A+ GRADE
2025/2026.
Simpson's 3/8 rule will result in zero error for a ____ - ANS first-order polynomial
second-order polynomial
third-order polynomial
Quadrature is another name for integration - ANS true
One way to increase the accuracy of Newton-Cotes integration techniques is to increase the
number of segments - ANS true
How many points would we need to determine a double integral using Simpson's 1/3 rule? -
ANS 9
The Guass Quadrature formulas discussed in class are called Gauss-Legendre formulas -
ANS True
Romberg's method can be used to combine two O(h^2) estimates of the integral to obtain a
single O(h^4) estimate - ANS True
1 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
, An upper triangular matrix is an echelon matrix - ANS True
Only Square matrices have determinants - ANS True
|ab|=0
| 2a 2b | - ANS true
Gauss Elimination is the systematic process of removing unknowns using forward elimination
followed by back substitution to obtain the unknown values - ANS True
Naive Gauss elimination can fail due to division by zero - ANS true
A system of equations can be written in form Ax=b, where A is a square matrix, x is a vector of
unknowns, and b is a vector of constants - ANS true
|00|=b
| a b | - ANS false
If one row of a matrix is a linear combination of two other rows, then the determinant is zero -
ANS True
Cramers Rule can be used to solve a system of equations - ANS True
Naive Gausss Elimination fails if the pivot element is zero - ANS True
Two applications where numerical integration is used are integrating discrete data points and
when it is difficult to obtain closed form solution - ANS true
2 @COPYRIGHT 2025/2026 ALLRIGHTS RESERVED
