MAE 284 EXAM 2 STUDY Questions AND Correct Answers
|00|=0
| a b | - ✔✔true
|00|=b
| a b | - ✔✔false
|ab|=0
| 2a 2b | - ✔✔true
|ab|=0
| a b | - ✔✔true
|ab|=a-b
| a b | - ✔✔false
a straight line with arbitrary slope is a first-order polynomial - ✔✔"first"
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 - ✔✔true
Adaptive Quadrature adjusts to use a smaller step size in areas where the function changes rapidly, and
a larger step size where the function changes slowly. - ✔✔true
Adaptive Quadrature adjusts to use a smaller step size in areas where the function changes slowly -
✔✔false
Adaptive Quadrature uses more segments in regions where the function changes rapidly - ✔✔true
, An upper triangular matrix is an echelon matrix - ✔✔True
Cramers Rule can be used to solve a system of equations - ✔✔True
Gauss Elimination is the systematic process of removing unknowns using forward elimination followed
by back substitution to obtain the unknown values - ✔✔True
How many points would we need to determine a double integral using Simpson's 1/3 rule? - ✔✔9
If one row of a matrix is a linear combination of two other rows, then the determinant is zero - ✔✔True
if one row of a matrix is a scalar multiple of another row, then the determinant is 0 - ✔✔true
if the determinant of a matrix is zero, the inverse of the matrix is a scalar - ✔✔false
if the error of an integration technique is proportional to h^2, we say the error is of order h^2, which we
write as O(h^2) - ✔✔true
if two rows of a matrix are identical, the determinant is zero - ✔✔true
III conditioned systems result from equations that correspond to parallels lines, coincident lines, or lines
with nearly the same slope (nearly parallel) - ✔✔true
in this class, if the determinant of a matrix is zero, the inverse of the matrix is not defined - ✔✔true
Naive Gauss elimination can fail due to division by zero - ✔✔true
Naive Gauss elimination ensures that division by zero is not possible - ✔✔false
|00|=0
| a b | - ✔✔true
|00|=b
| a b | - ✔✔false
|ab|=0
| 2a 2b | - ✔✔true
|ab|=0
| a b | - ✔✔true
|ab|=a-b
| a b | - ✔✔false
a straight line with arbitrary slope is a first-order polynomial - ✔✔"first"
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 - ✔✔true
Adaptive Quadrature adjusts to use a smaller step size in areas where the function changes rapidly, and
a larger step size where the function changes slowly. - ✔✔true
Adaptive Quadrature adjusts to use a smaller step size in areas where the function changes slowly -
✔✔false
Adaptive Quadrature uses more segments in regions where the function changes rapidly - ✔✔true
, An upper triangular matrix is an echelon matrix - ✔✔True
Cramers Rule can be used to solve a system of equations - ✔✔True
Gauss Elimination is the systematic process of removing unknowns using forward elimination followed
by back substitution to obtain the unknown values - ✔✔True
How many points would we need to determine a double integral using Simpson's 1/3 rule? - ✔✔9
If one row of a matrix is a linear combination of two other rows, then the determinant is zero - ✔✔True
if one row of a matrix is a scalar multiple of another row, then the determinant is 0 - ✔✔true
if the determinant of a matrix is zero, the inverse of the matrix is a scalar - ✔✔false
if the error of an integration technique is proportional to h^2, we say the error is of order h^2, which we
write as O(h^2) - ✔✔true
if two rows of a matrix are identical, the determinant is zero - ✔✔true
III conditioned systems result from equations that correspond to parallels lines, coincident lines, or lines
with nearly the same slope (nearly parallel) - ✔✔true
in this class, if the determinant of a matrix is zero, the inverse of the matrix is not defined - ✔✔true
Naive Gauss elimination can fail due to division by zero - ✔✔true
Naive Gauss elimination ensures that division by zero is not possible - ✔✔false
