Question

A square matrix A of order n is called similar to another square matrix B of order n if there exists a​

Answer 1

Answer:

Definition of Square Matrix: An n × n matrix is said to be a square matrix of order n. In other words when the number of rows and the number of columns in the matrix are equal then the matrix is called square matrix. Since the number of rows and the number of columns are equal, the above matrix A is a square matrix.

Step-by-step explanation:

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Answer 2

Answer:

mathematics, a square matrix is a matrix with the same number of rows and columns. An n-by-n matrix is known as a square matrix of order {\displaystyle n}n. Any two square matrices of the same order can be added and multiplied.

Step-by-step explanation:

Square matrices are often used to represent simple linear transformations, such as shearing or rotation. For example, if {\displaystyle R}R is a square matrix representing a rotation (rotation matrix) and {\displaystyle v}v is a column vector describing the position of a point in space, the product {\displaystyle Rv}Rv yields another column vector describing the position of that point after that rotation. If {\displaystyle v}v is a row vector, the same transformation can be obtained using {\displaystyle vR^{\mathsf {T}}}{\displaystyle vR^{\mathsf {T}}}, where {\displaystyle R^{\mathsf {T}}}{\displaystyle R^{\mathsf {T}}} is the transpose of {\displaystyle R}R.