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square bandmatrix is a square matrix denoted by D n,a where n denotes the size of the square matrix and a-1 denotes the number of non-zero diagonals above and below the main diagonal.
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|a b c 0 0
|d e f g 0
|h i j k l
|0m n p q
|0 0 s t u
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above is an 5X5 matrix which can be denoted as D 5, 3.
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What is a symmetric matrix?
a square matrix that is equal to its transpose
How do you square a matrix?
To square a matrix, simply multiply the matrix by itself. It is just like squaring any other regular number in mathematics.
What is a skew symmetric matrix?
A skew symmetric matrix is a square matrix which satisfy, Aij=-Aji or A=-At
When can you not invert a matrix?
If it is not a square matrix. You cannot invert a square matrix if it is singular. That means that at least one of the rows of the matrix can be expressed as a linear combination of the other rows. A simple test is that a matrix cannot be inverted if its determinant is zero.
What is an adjoint matrix?
The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.
