 # matrix

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matrix - a rectangular array of numbers or symbols which are generally arranged in rows and columns

Basic m x n Matrix Operations
Given 2 matrices |A| and |B|, this performs the following basic matrix operations
* Matrix Addition |A| + |B|
* Matrix Subtraction |A| - |B|
* Matrix Multiplication |A| x |B|
* Scalar multiplication rA where r is a constant.

Digraph Items
Given a digraph, this determines the leader, and symmetric matrix.

Finance
1) [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C3500%0D%0A2%2C3500%0D%0A3%2C3500%0D%0A&irr=8&pl=NPV']Net present value[/URL] = \$1,019.85 [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C3500%0D%0A2%2C3500%0D%0A3%2C3500&irr=8&pl=IRR']IRR[/URL] = 14% I need a reinvestment rate from you for [URL='http://www.mathcelebrity.com/mirr.php']MIRR shown here[/URL] Yes, we should pursue the project since NPV > 0 2) [URL='http://www.mathcelebrity.com/npv.php?matrix1=0%2C-8000%0D%0A1%2C5000%0D%0A2%2C5000&irr=8&pl=NPV']Net present value[/URL] = \$916.32 Buy A as it has the higher net present value.

Find the elements on the principal diagonal of matrix B
Find the elements on the principal diagonal of matrix B Matrix B: |0 0 8| |-1 3 0| |2 -5 -7| The main diagonal is any entry where row equals column |[B]0[/B] 0 8| |-1 [B]3 [/B] 0| |2 -5 [B]-7[/B]| In this case, it is [B]0, 3, -7[/B]

Markov Chain
Given a transition matrix and initial state vector, this runs a Markov Chain process.

Matrix Properties
Given a matrix |A|, this calculates the following items if they exist:
* Determinant = det(A)
* Inverse = A-1
* Transpose = AT