MTH603 Quiz 2 Solution and Discussion
-
If the determinant of a matrix A is not equal to zero then the system of equations will have……….
-
@cyberian said in MTH603 Quiz 2 Solution and Discussion:
If the determinant of a matrix A is not equal to zero then the system of equations will have……….
A nxn homogeneous system of linear equations has a unique solution (the trivial solution) if and only if its determinant is non-zero. If this determinant is zero, then the system has an infinite number of solutions.
-
In ………… method, matrix [A] of the system of equations is decomposed into the product of two matrices [L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its main diagonal.
MTH603
Gauss-Seidel
Crout’s ReductionMethod -
@cyberian said in MTH603 Quiz 2 Solution and Discussion:
In ………… method, matrix [A] of the system of equations is decomposed into the product of two matrices [L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its main diagonal.
MTH603
Gauss-Seidel
Crout’s ReductionMethodCrout’s ReductionMethod
Here the coefficient matrix [A] of the system of equations is decomposed into the product of two matrices
[L] and [U], where [L] is a lower-triangular matrix and [U] is an upper-triangular matrix with 1’s on its
main diagonal. -
If the order of coefficient matrix corresponding to system of linear equations is 33 then which of the following will be the orders of its decomposed matrices; ‘L’ and ‘U’? MTH603
Order of ‘L’ = 31, Order of ‘U’ = 1*3 -
At which of the following points the Minimum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits? -
@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
At which of the following points the Minimum value of 2nd derivative of function
f(x) = -(2/x) in the interval:[1,4] exits?At x=1
-
In solving the differential equation
y/=x+y;y(0)=1
h=0.2
By Euler’s method y(0.2) is calculated as -
Given that dy/dt=t+y with the initial condition y0=1at t0=0 find the 3rd term in Taylor series when t=1.5 and y// =0.6
-
Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule
-
@zaasmi said in MTH603 Quiz 2 Solution and Discussion:
Which of the following method is simplest one to integrate numerically a given tabular function but give more error?
Rectangular method
Trapezoidal method
Simpson’s 1/3 Rule
Simpson’s 3/8 Rule
Trapezoidal method
-
Trapezoidal rule of integration of a definite integral is of…………
O(h2)
O(h3)
O(h4)
None of the given choices -
In Simpson’s rule, we can estimate the integral by …………the areas under the parabolic arcs through three successive points.
Adding
Subtracting
Multiplying
None of the given choices -
-
In Trapezoidal rule, we assume that f(x) is continuous on [a, b] and we divide [a, b] into n subintervals of equal length using the ………points.
n
n+1
n-1
None of the given choices -
Given that dydt=t+y√ with the initial condition y0=1att0=0 find the 2nd term in Taylor series when t=1, y/ =0.2, and h=0.1.