Matrix is a rectangular array of numbers which are arranged in the forms of rows and columns. The size and the mathematical operations of the matrix depend on the number of rows and columns. If the number of rows within a matrix is same as the number of columns in it, the matrix is referred to as the square matrix.
There are many types of matrices. A matrix with a single column is called a vector, one with a single row is called a row matrix and one with only zeroes in it is called a zero matrix.
There are many other criterions on the basis of which the matrices are defined. The most notable parameter in this regard is the diagonal of the matrix and the elements in, above and below it.
Matrices can be used in solving linear algebraic equations in a quick way. Their logic is used many computational programs to save the calculation time and the storage space; it is therefore a fundamental tool of finite element analysis.
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A determinant is a number which is obtained by carrying out certain defined mathematical operations inside a square matrix. This method is different for square matrices of different sizes.
Determinant is mandatory in calculating the inverse of a matrix. This number is not inconsequential or only a calculation tool. It has his physical application in liner algebra as well. This number represents the volume of a square area.
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