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The transpose of a matrix A is got by interchanging its rows and columns and is denoted by A' or A T . If A = [a i j ] m x n is a matrix of order mxn, the transpose of A = A' = [a j i ] n x m is a matrix of order n..

(A T ) T = A (A + B) T = A T + B T , A and B being of the same order. (KA) T = KA T , k be any scalar (real or complex) (AB) T = B T A T ; A and B being conformable for the product A..

The adjoint of a square matrix [aij] is defined as the transpose of the matrix [Aij] where Aij are the cofactors of the elements aij. Adjoint of A is denoted by adj A. Let A be a square matrix of order n. If there exists a matrix B of o..

Adjoint of a Square Matrix - The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj ..

The adjoint of a square matrix [a i j ] is defined as the transpose of the matrix [A i j ] where A i j are the cofactors of the elements a i j . Adjoint of A is denoted by adj A. ..

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..

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..

A scalar matrix is a diagonal matrix in which all the diagonal elements are equa..

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..

A square matrix A is said to be singular if |A| = ..