# MTH603 Grand Quiz Solution and Discussion

• Let [A] be a 3x3 real symmetric matrix with
|a12|

be numerically the largest off-diagonal element of A, then we can construct orthogonal matrix S1 by Jacobi’s method as

⎡⎣⎢⎢1000cosθsinθ0−cosθ−sinθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

Reff

• Let [A] be a 3x3 real symmetric matrix with
|a12|

be numerically the largest off-diagonal element of A, then we can construct orthogonal matrix S1 by Jacobi’s method as

⎡⎣⎢⎢1000cosθsinθ0−cosθ−sinθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥
⎡⎣⎢⎢cosθ0sinθ010−sinθ0cosθ⎤⎦⎥⎥

• While using Relaxation method, which of the following is increment ‘dxi’corresponding to the largest Residual for 1st iteration on the system;
2x+3y = 1, 3x +2y = - 4 ?

-4
3 REF
2
1

• The Jacobi’s method is a method of solving a matrix equation on a matrix that has no zeros along its main diagonal.
True
False

• The number system that is used in our daily life is called…system.

There are number of different numbering system which is in use for the unique ability to represent different numbers. Binary, Octal, Denary and Hexadecimal are number systems that are used in different aspects Denary number is the most commonly used number system which is frequently used in daily life.

The numeration system we use in our daily lives is called base ten, also called decimal or denary. … “Base ten” means that numbers are represented by combinations of symbols (ciphers), of which there are only ten (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9).

• The number system that is used in our daily life is called…system.

There are number of different numbering system which is in use for the unique ability to represent different numbers. Binary, Octal, Denary and Hexadecimal are number systems that are used in different aspects Denary number is the most commonly used number system which is frequently used in daily life.

• The number system that is used in our daily life is called…system.

Binary
Octal
Decimal

4

1

2

3

1

4

2

1
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