{"id":122,"date":"2022-04-13T10:04:00","date_gmt":"2022-04-13T10:04:00","guid":{"rendered":"http:\/\/10thclass.deltapublications.in\/?page_id=122"},"modified":"2024-12-23T10:49:13","modified_gmt":"2024-12-23T10:49:13","slug":"f-2-matrix-operation-rules","status":"publish","type":"page","link":"https:\/\/10thclass.deltapublications.in\/index.php\/f-2-matrix-operation-rules\/","title":{"rendered":"F.2 Matrix operation rules"},"content":{"rendered":"\n

Matrix operation rules<\/strong><\/p>\n\n\n\n

key notes:<\/p>\n\n\n\n

\n

\u2708\ufe0f Matrices can be added only if their dimensions are exactly the same.<\/p>\n\n\n\n

\u2708\ufe0f Matrices can be subtracted only if their dimensions are exactly the same.<\/p>\n\n\n\n

\u2708\ufe0f Two matrices can be multiplied only if the number of columns in the first matrix is equal to the number of rows in the second matrix.<\/p>\n\n\n\n

\u2708\ufe0f The product of a number with a matrix has the same number of rows and columns as the original matrix.<\/p>\n\n\n\n

\u2708\ufe0f Any matrix can always be multiplied by any number, regardless of its dimensions.<\/p>\n\n\n\n

\u2708\ufe0f The product AB of two matrices has the same number of rows as A and the same number of columns as B.<\/p>\n<\/div><\/div>\n\n\n\n

\u2708\ufe0f When writing the dimensions, put the number of rows before the number of columns.<\/p>\n\n\n\n

Learn with an example<\/strong><\/p>\n\n\n\n

\n
\n

\ud83d\udc49 What are the dimensions of matrix H<\/em>?<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

_____ by  _____<\/p>\n<\/div><\/div>\n\n\n\n

The first matrix in the product has 1 row, so the product H<\/em> also has 1 row. The second matrix in the product has 1 column, so H<\/em> also has 1 column.<\/p>\n\n\n

\n
\"\"<\/figure><\/div>\n\n\n

The dimensions of H are 1 by 1.<\/strong><\/p>\n<\/div><\/div>\n\n\n\n

\n
\n

\ud83d\udc49 Is this product defined?<\/p>\n\n\n\n

7 [ 2 0 1 ]<\/p>\n\n\n\n