Q: When is a square matrix said to be diagonisable?

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A square matrix K is said to be idempotent if K2=K.So yes K is a square matrix

In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.

Square Matrix: When m=n (Here m=Rows and n=colums) are same is called square matrix. Ex. A=|Bij|

A rectangle containing numbers are called "matrix" (1 0 0 1) (3 4 8 0) is a 2 x 4 matrix a SQUARE containing numbers is a n x n matrix, or square matrix (1 0) (5 6) is a square matrix (1) is a square matrix

A rectangular (non-square) matrix.

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A square matrix K is said to be idempotent if K2=K.So yes K is a square matrix

A square matrix is said to be scalene Matrix if it has all principal diagonal elements equal and remaining all

In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.

The idempotent matrix is also called square root of a matrix. i.e.)A2=A

A Hadamard Matrix is a square matrix composed of 1 or -1. Using a square matrix system the hadamard matrix could be created

Square Matrix: When m=n (Here m=Rows and n=colums) are same is called square matrix. Ex. A=|Bij|

No. A square matrix has an inverse if and only if its determinant is nonzero.

a square matrix that is equal to its transpose

A rectangle containing numbers are called "matrix" (1 0 0 1) (3 4 8 0) is a 2 x 4 matrix a SQUARE containing numbers is a n x n matrix, or square matrix (1 0) (5 6) is a square matrix (1) is a square matrix

Involtary Matrix A square matrix A such that A2=I or (A+I)(A-I)=0, A is called involtary matrix.

To square a matrix, simply multiply the matrix by itself. It is just like squaring any other regular number in mathematics.

A rectangular (non-square) matrix.