Download Games StrongHold 3

Stronghold 3 - a new game in the series of real-time strategy Stronghold. Its main feature - the construction of locks - has been significantly improved, giving players unprecedented control over the layout of buildings. This allows them to create their own kingdoms according to their tactical plans. In addition, the game was introduced night of the siege, which significantly increases the number of different tactics, and adds several new features. The graphics engine allows you to examine in detail the building, and a physics engine adds the possibility of destruction of object.
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Inverse of Matrix by Gauss-Jordan elimination Aljabar linier

Inverse of  Matrix by Gauss-Jordan elimination Aljabar linier.

Mata kuliah saya diantaranya aljabar Linier. waduh susah dah. dengan latar belakang sms.. akibat googling.. saya mendapat kan jawaban.. tra tar.

To find the inverse of matrix A, using Gauss-Jordan elimination, we must find a sequence of elementary row operations that reduces A to the identity and than perform the same operations on I_n to obtain A^-1.

Inverse of 2 x 2 matrices

Example 1: Find the inverse of

Solution:

Step 1: Adjoin the identity matrix to the right side of A:

Step 2: Apply row operations to this matrix until the left side is reduced to I. The computations are:

Step 3: Conclusion: The inverse matrix is:

Not invertible matrix

If A is not invertible, then, a zero row will show up on the left side.

Example 2: Find the inverse of

Solution:

Step 1: Adjoin the identity matrix to the right side of A:

Step 2: Apply row operations

Step 3: Conclusion: This matrix is not invertible.

Inverse of 3 x 3 matrices

Example 1: Find the inverse of

Solution:

Step 1: Adjoin the identity matrix to the right side of A:

Step 2: Apply row operations to this matrix until the left side is reduced to I. The computations are:

thanks for http://www.mathportal.org/linear-algebra/matrices/gauss-jordan.php