We are given matrix A, how can we find its transpose. To find transpose of matrix, it is necessary to understand definition of transpose of matrix. If $$A ={[{a_{ij}}]_{m \times n}}$$ then its transpose which is written as $${A^T} = {[{a_{ji}}]_{n … [Continue reading]
How to calculate value of f(A) when A is a matrix ?
When we want to calculate value of f(a) when a is any constant, we simply replace value of x by a in the given function f(x). We follow the same procedure to calculate value of f(A) where A is any matrix. We replace value of x by A and do the … [Continue reading]
Involutory, Nilpotent and Idempotent Matrix
What are Nilpotent, Involutory and Idempotent matrices? … [Continue reading]
Multiplying Scalar with a Matrix
To multiply any scalar with a matrix, we simply multiply every element present in the matrix with that scalar. For example, if we are given with any matrix A and we want to calculate 2A then we simply multiply each element of matrix with 2 to get the … [Continue reading]
Equality of Matrices
Equality of Matrices Two matrices are equal if both matrices are of same order and corresponding elements are equal in both of the matrices. For example, we have two matrices $${\rm{A}} = \left[{\matrix{3&4&6 … [Continue reading]