MTH603 Quiz 1 Solution and Discussion

The Jacobi’s method is a method of solving a matrix equation on a matrix that has ____ zeros along its main diagonal.
no
atleast one 
@zareen said in MTH603 Quiz 1 Solution and Discussion:
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Eigenvalues of a _________ matrix are all real.
If each entry of an n×n matrix A is a real number, then the eigenvalues of A are all real numbers. False. In general, a real matrix can have a complex number eigenvalue. In fact, the part (b) gives an example of such a matrix.
symmetric 
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Eigenvalues of a _________ matrix are all real.
If each entry of an n×n matrix A is a real number, then the eigenvalues of A are all real numbers. False. In general, a real matrix can have a complex number eigenvalue. In fact, the part (b) gives an example of such a matrix.

Eigenvalues of a _________ matrix are all real.

Which of the following systems of linear equations has a strictly diagonally dominant coefficient matrix?
−x1+12x2+5x3=8
9x1+5x2−3x3=12
2x1−4x2+7x3=−15

@zareen said in MTH603 Quiz 1 Solution and Discussion:
Divided difference
Divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form.

@zareen said in MTH603 Quiz 1 Solution and Discussion:
Interpolation
Reff
In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing new data points within the range of a discrete set of known data points. 
@zareen said in MTH603 Quiz 1 Solution and Discussion:
Extrapolation
In mathematics, extrapolation is a type of estimation, beyond the original observation range, the value of a variable on the basis of its relationship with another …

@zareen said in MTH603 Quiz 1 Solution and Discussion:
In Simpson’s 1/3 rule, the global error is of ……………… MTH603
Mth603 Just Final term MCQS (latest quiz included and FAQs and Glossary is also included in this file) Plz. … This preview shows page 1  3 out of 46 pages. … True False In Simpson’s 3/8 rule, the global error is of O(h2) O(h3) O(h4) None of …

@zareen said in MTH603 Quiz 3 Solution and Discussion:
δ = E 1/2  E 1/2
δ δ. + terms involving high powers of δx1, δx2 are infinitesimal their squares and higher powers … [eh  1] ∆ex = (eh – 1)( e(x+h)  ex ) = (eh – 1)2 ex. ∴∆2 eax …
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Please share your Quiz
Choose your region. Enter your name. Answer 10 Questions about yourself. Your quiz link will be created. Share your quiz link with your friends. Your friends will …

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Y’=(x)=1+Some truncation Error
EXAMPLE 1 Bound for Local Truncation Error Find a bound for the local … the local truncation error for any of the five steps given in Table 6.1.1 by replacing c by …
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For a function ‘f(x) = x’, with a step size of ‘h=0.01’, which of the following gives the 1st derivative at x =1 by using two point formula? MTH603
approximate the function f (x) = cos x by the series. 2. 4. 2 … An equation f(x)=0 is said to be the algebraic equation in x if it is purely a … between these two points and therefore, a root lies between these two points.

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(y2 + y4)/2
IR Row Orbital Symmetry function Bonding a1 s(M) s( M) Sigma s(L) (s1 +s2+s3+s4)/2 p(L) (x1+y1+z1−x2− y2+z2−x3+y3 −z3 +x4− y4−z4)/ √ 12 e 1 d(M) dx2 (M)

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While using the Composite Trapezoidal form for integrating y = f(x) in [0,10] which is subdivided in equally spaced interval of width ‘h =2’, then which of the following is the area of associated trapezoidal strip over subinterval:[2,4] ? MTH603
In mathematics, and more specifically in numerical analysis, the trapezoidal rule is a technique … The trapezoidal rule works by approximating the region under the graph of the … {\displaystyle {d^{2}g_{k} \ over dt.

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Polynomial Function
In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and nonnegative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x² − 4x + 7
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