Matrices
Created using Maple 14.01
Jake 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Load the LinearAlgebra package.QyQtSSV3aXRoRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiNJLkxpbmVhckFsZ2VicmFHRiUhIiI=As an example, let's enter a 3x3 matrix.QyQ+SSJtRzYiLUknTWF0cml4R0YlNiM3JTclIiIiIiIkIiIhNyUiIiMhIiNGKzclISIlRishIiJGKw==We can now select elements (or rows) of the matrix using square brackets as follows: QygmSSJtRzYiNiQiIiIiIiNGJyZGJDYkIiIkRitGJyZGJDYjRihGJw==Here's how to define row and column matrices.QyY+SSRyb3dHNiItSSdNYXRyaXhHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHRiU2IzcjNyVJI3IxR0YlSSNyMkdGJUkjcjNHRiUiIiI+SSdjb2x1bW5HRiUtRic2IzclNyNJI2MxR0YlNyNJI2MyR0YlNyNJI2MzR0YlRjE=Let's try some Matrix multiplication, the notation is a period "." between the two matrices.QyYtSTBkZWxheURvdFByb2R1Y3RHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0c2JEYmSShfc3lzbGliR0YpNiRJJHJvd0dGKUkibUdGKSIiIi1GJDYkRi9JJ2NvbHVtbkdGKUYwHere's the inverse of the matrix m.QyQ+SSVtSW52RzYiLUkuTWF0cml4SW52ZXJzZUdGJTYjSSJtR0YlIiIiFinally, confirm that matrix product of m and its inverse gives the identity.QyQtSTBkZWxheURvdFByb2R1Y3RHNiQlKnByb3RlY3RlZEcvSSttb2R1bGVuYW1lRzYiSSxUeXBlc2V0dGluZ0c2JEYmSShfc3lzbGliR0YpNiRJIm1HRilJJW1JbnZHRikiIiI=JSFHTTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3MzgzMlgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyoiJCIkIiIiIiIjISIlIiIkISIjRiYiIiFGJiEiIkYlTTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3Mzg5NlgqJSlhbnl0aGluZ0c2IkYlW2dsISQlISEhIiQiJCIiIyEiIyIiIkYlTTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NDY2NFgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyQiIiIkJSNyMUclI3IyRyUjcjNHRiU=TTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NDcyOFgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyQiJCIiJSNjMUclI2MyRyUjYzNHRiU=TTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NDc5MlgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyQiIiIkLCglI3IxRyIiIiUjcjJHIiIjJSNyM0chIiUsKEYnIiIkRikhIiNGK0YoLCZGKUYoRishIiJGJQ==TTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NDg1NlgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyQiJCIiLCYlI2MxRyIiIiUjYzJHIiIkLChGJyIiI0YpISIjJSNjM0dGKCwoRichIiVGKUYoRi4hIiJGJQ==TTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NTI0MFgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyoiJCIkIyEiIiIiJiMiIiNGKCMiIidGKCMhIiRGKCMiIiJGKCMiIzhGKEYtRi8jIiIpRihGJQ==TTdSMApJNlJUQUJMRV9TQVZFLzE5MjA3NTMwNFgsJSlhbnl0aGluZ0c2IkYlW2dsISIlISEhIyoiJCIkIiIiIiIhRidGJ0YmRidGJ0YnRiZGJQ==