# 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

• 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 • 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  • Divided difference

Reff

Divided differences is a recursive division process. The method can be used to calculate the coefficients in the interpolation polynomial in the Newton form. • 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.

• Extrapolation

Reff

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 …

• 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 …

• 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 …

• 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 …

• 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.

• (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)

• 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.

• Polynomial Function

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x² − 4x + 7  1

3

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1

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• ## CS614 Assignment 3 Solution and Discussion CS614 - Data Warehousing • cs614 assignment 3 solution discussion fall 2019 • • zareen

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