Row Matrix: <\/strong>A Matrix having only one row is called a Row Matrix. A= [aij<\/sub>]mxn\u00a0<\/sub> is a row matrix , if m=1 then row matrix is represented as A= [aij<\/sub>]1xn\u00a0<\/sub>. It has only one row and the order of a matrix will be 1 x n. For example, A= [1 2 4 5] is row matrix of order 1 x 4.<\/p>\n Column Matrix: <\/strong>A Matrix having only one column is called a Column Matrix. A= [aij<\/sub>]mxn\u00a0<\/sub> is a column matrix, if n=1 then column matrix is represented as A= [aij<\/sub>]mx1\u00a0<\/sub>. It has only one column and the order of a matrix will be m x 1. Just like row matrices had only one row, column matrices have only one column. Thus the value of the column matrix will be 1.<\/p>\n Null Matrix: <\/strong>Null Matrix is also called Zero Matrix. In a matrix all the elements are zero then it is called a Zero Matrix or Null Matrix and it is generally denoted by 0. Thus, A = [aij<\/sub>]mxn <\/sub>is a Zero or Null Matrix.<\/p>\n Unity or Identity Matrix: <\/strong>If a square matrix has all elements 0 and each diagonal element is non-zero, it is called an identity matrix. It is denoted by I.<\/p>\n Equal Matrix: <\/strong>If two matrices are said to be equal if they are same order if their corresponding elements are equal to the square matrix.<\/p>\n Square Matrix: <\/strong>If the number of rows and the number of columns in a matrix are equal, then it is called Square Matrix.<\/p>\n A Two- Dimensional matrix consists of the number of rows (m) and a number of columns (n). The order of the matrix is equal to m x n (also pronounced as ‘m by n’).<\/p>\n Order of Matrix = Number of Rows x Number of Columns.<\/p>\n In the above, you can see, the matrix has 2 rows and 4 columns. Therefore, the order of the matrix is 2 x 4.<\/p>\n If a matrix has m number of rows and n number of columns, now let’s know how to find the order of the matrix.<\/p>\n Here few examples, how to find the order of a matrix,<\/p>\n [1\u00a0 2\u00a0 3] is an example, in this, the order of the matrix is (1 x 3), which means the number of rows (m) is 1 and the number of columns (n) is 3.<\/p>\n [7\u00a0 5] is an example of (1 x 2) matrix, in this number of rows are (m) is 1 and number of columns (n) is 2. The order of the above matrix is (2 x 3), in this number of rows is (m) is 2, and the number of columns (n) is 3.<\/p>\n A matrix of the order m x n has mn elements. Hence we say that if the number of elements in a matrix is prime, then it must have one row or one column. Usually, we denote a matrix by using capital letters such as A, B, C, D, M, N, X, Y, Z, etc.<\/p>\n The product of m and n can be obtained in more than one ways, some of the ways are,<\/p>\n Suppose, A is the order of 2 x 3. Therefore, the number of elements present in a matrix will also be 2 times 3, i.e 6.<\/p>\n Similarly, the other matrix order is 4 x 3, thus the number of elements will be 12 i.e. 4 times 3. If we know the order of a matrix, we can easily determine the total number of elements that the matrix has,<\/p>\n If a matrix is of m x n order, it will have mn element.<\/p>\n Example 1.<\/strong><\/p>\n If matrix A has an 8 number of elements, then determine the order of the matrix.<\/p>\n Solution: <\/strong><\/p>\n We know that number of elements is 8<\/p>\n Let’s write all the possible factors of the number 8<\/p>\n 8 = 1 x 8<\/p>\n 8 = 4 x 2<\/p>\n 8 = 2 x 4<\/p>\n 8 = 8 x 1<\/p>\n we can get the number 8 is four ways.<\/p>\n Therefore, there are four possible ways or orders of the matrix with 8 number of elements are 1 x 8, 2 x 4, 4 x 2, and 8 x 1.<\/p>\n Example 2.<\/strong><\/p>\n If a matrix X has 7 number of elements, find the order of the matrix.<\/p>\n Solution: <\/strong><\/p>\n We know that number of elements is 7<\/p>\n Let’s write all the possible factors of the number 7<\/p>\n 7 = 1 x 7<\/p>\n 7= 7 x 1<\/p>\n we can get the number 7 in two ways.<\/p>\n Therefore, there are two possible ways or orders of the matrix with 7 number of elements are 1 x 7, 7 x 1.<\/p>\n Example 3.<\/strong><\/p>\n What is the order of a matrix given below?<\/p>\n\\( A =\\left[ Solution: <\/strong><\/p>\n The number of rows in a given matrix is A = 2<\/p>\n The number of columns in a given matrix is A = 3<\/p>\n Therefore, the order of matrix is\u00a0 2 x 3.<\/p>\n Example 4.<\/strong><\/p>\n What is the order of a matrix given below?<\/p>\n\\( A =\\left[ Solution: <\/strong><\/p>\n The number of rows in a given matrix is A = 3<\/p>\n The number of columns in a given matrix is A = 3<\/p>\n Therefore, the order of the matrix is 3 x 3.<\/p>\n 1. What is Matrix and Types?<\/strong><\/p>\n A Matrix can be defined as a rectangular array of numbers or functions. A matrix consists of rows (m) and columns (n) that is m x n. Types of Matrices are :<\/p>\n 2. What is the Null Matrix?<\/strong><\/p>\n Null Matrix is also called Zero Matrix. In a matrix all the elements are zero then it is called a Zero Matrix or Null Matrix and it is generally denoted by 0. Thus, A = [aij<\/sub>]mxn <\/sub>is a Zero or Null Matrix.<\/p>\n 3. What is another name of Unity Matrix?<\/strong><\/p>\n Another name of the unity matrix is Identity Matrix. <\/strong>If a square matrix has all elements 0 and each diagonal element is non-zero, it is called an Identity Matrix. It is denoted by I.<\/p>\n 4. What is the order of Square Matrix?<\/strong><\/p>\n A Matrix that has a number of rows is equal to a number of columns is called Square Matrix. In this matrix, all the elements are arranged in m number of rows and n number of columns . So the order of the matrix is denoted by mxn.<\/p>\n 5. Explain a Scalar Matrix?<\/strong><\/p>\n Scalar Matrix is similar to a square matrix. In the scalar matrix, all off-diagonal elements are equal to zero and all on diagonal elements happen to be equal. In other words, the Scalar Matrix is an identity matrices multiple.<\/p>\n","protected":false},"excerpt":{"rendered":" Before we learn about the Order of a Matrix let us know What is a Matrix. Matrices are defined as a rectangular array of numbers or functions. It is a rectangular array and two- dimensional. A Matrix is a rectangular array of numbers or symbols which are generally arranged in rows and columns. The plural … Read more<\/a><\/p>\n","protected":false},"author":11,"featured_media":75213,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/03\/Order-of-a-Matrix.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/73387"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=73387"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/73387\/revisions"}],"predecessor-version":[{"id":92212,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/73387\/revisions\/92212"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/75213"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=73387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=73387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=73387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}How to find Order of a Matrix?<\/h3>\n
![\"\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/03\/Determine-Order-of-Matrix.jpg\")
<\/a><\/p>\nHow will you Determine the Order of Matrix?<\/h3>\n
\n\\( A =\\left[
\n\\begin{matrix}
\n6 & 2 & 3\\cr
\n12 & 15 & 35 \\cr
\n\\end{matrix}
\n\\right]
\n\\)<\/p>\n\n
Number of Elements in Matrix<\/h3>\n
Order of a Matrix Examples<\/h3>\n
\n\\begin{matrix}
\n1 & 2 & 9\\cr
\n18 & 12 & 15 \\cr
\n\\end{matrix}
\n\\right]
\n\\)\n
\n\\begin{matrix}
\n4 & 5 & 7\\cr
\n11 & 14 & 18 \\cr
\n21 & 24 & 8 \\cr
\n\\end{matrix}
\n\\right]
\n\\)\nFAQ’s on Order of Matrix<\/h3>\n
\n