diagonal matrix tutorial


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Diagonal Matrix
A square matrix A=[a i j ] n x n is called a diagonal matrix if all the elements, except those in the leading diagonal, are zero. i.e., a i j = 0 for all i ..
Scalar Matrix
A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..
Square Matrix
A matrix in which the number of rows is equal to the number of columns, say n, is called a square matrix of order n. In this square matrix of order n the elements a 1 1 , a 2 2 .......a n n is called the principal diagonal or the leading diagonal. T..
Identity or Unit Matrix
A square matrix A=[a i j ] n x n is called an identity or unit matrix if (2) a i j =1 for all i = j In other words a square matrix each of whose diagonal elements is unity and each of whose non-diagonal elements is equal to zero is called a..
Skew-Symmetric Matrix:
A square matrix A = [a i j ] is said to be skew-symmetric if the (i,j) t h element of A is the negative of the (j,i) t h element of A i.e., if a i j = -a j i for all i, j. In particular, for i = j, we have Thus the diagonal elements of a skew symmetric matrixh..
Matrix
Matrix of blood is known as plasma. Nearly 90% of the plasma is represented by water. The organic substances account for about 9% and the remaining 1% is represented by inorganic substances. The organic substances in the plasma occur in a wide variety of forms. There are carbohydrates mos..
Diagonal relationship
 similarity in properties of elements present diagonally Some elements of second period show similarities with elements of the third period present diagonally to each other, even though they belong to different groups. The similarity in properties of elements present diagonally is called diagonal relationship. This is shown..
Diagonals are given
AC = 5.2 cm In a square diagonals are equal. (i) Draw AC = 5.2 cm. (ii) Construct XY which bisects AC at O. (iii) With centre O and radius 2.6 cm ((= BD), cut XY at D and B. (iv) Join AB, BC, CD and AD. (v) \ ABCD is the required square...
Null Matrix or Zero Matrix
A matrix of order m x n whose elements are all 0 is called a null matrix (or zero matrix) of order m x n. It is usually denoted by O or more clearly [O] m , n..
Row Matrix
A matrix having only one row is called a row-matrix. For example: A[1 3 2 -2] is a row matrix of order 1 x..
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