Page 1 MATRICES AND DETERMINANTS Page 2 MATRICES AND DETERMINANTS OBJECTIVES Definition and examples of Matrices Types of Matrices Addition and Subtraction of Matrices Multiplication and Division of Matrices Definition and examples of Determinants Cramer’s method for 2 ?2 and 3 ?3 systems (variables). Relationship between Matrices and Determinants, with examples Solution of the case using Cramer’s method Page 3 MATRICES AND DETERMINANTS OBJECTIVES Definition and examples of Matrices Types of Matrices Addition and Subtraction of Matrices Multiplication and Division of Matrices Definition and examples of Determinants Cramer’s method for 2 ?2 and 3 ?3 systems (variables). Relationship between Matrices and Determinants, with examples Solution of the case using Cramer’s method Matrices A matrix is a rectangular arrangement of numbers into rows and columns. The number of rows and columns that a matrix has is called its dimension or its order. By convention, rows are listed first; and columns, second. Numbers that appear in the rows and columns of a matrix are called elements of the matrix.Two matrices are equal if all three of the following conditions are met: ? Each matrix has the same number of rows. ? Each matrix has the same number of columns. ? Corresponding elements within each matrix are equal. Page 4 MATRICES AND DETERMINANTS OBJECTIVES Definition and examples of Matrices Types of Matrices Addition and Subtraction of Matrices Multiplication and Division of Matrices Definition and examples of Determinants Cramer’s method for 2 ?2 and 3 ?3 systems (variables). Relationship between Matrices and Determinants, with examples Solution of the case using Cramer’s method Matrices A matrix is a rectangular arrangement of numbers into rows and columns. The number of rows and columns that a matrix has is called its dimension or its order. By convention, rows are listed first; and columns, second. Numbers that appear in the rows and columns of a matrix are called elements of the matrix.Two matrices are equal if all three of the following conditions are met: ? Each matrix has the same number of rows. ? Each matrix has the same number of columns. ? Corresponding elements within each matrix are equal. Examples Of Matrices Its dimensions are 2 ×3 2 rows and three columns The entries of the matrix below are 2, -5, 10, -4, 19, 4. The variable A in the matrix equation below represents an entire matrix. Page 5 MATRICES AND DETERMINANTS OBJECTIVES Definition and examples of Matrices Types of Matrices Addition and Subtraction of Matrices Multiplication and Division of Matrices Definition and examples of Determinants Cramer’s method for 2 ?2 and 3 ?3 systems (variables). Relationship between Matrices and Determinants, with examples Solution of the case using Cramer’s method Matrices A matrix is a rectangular arrangement of numbers into rows and columns. The number of rows and columns that a matrix has is called its dimension or its order. By convention, rows are listed first; and columns, second. Numbers that appear in the rows and columns of a matrix are called elements of the matrix.Two matrices are equal if all three of the following conditions are met: ? Each matrix has the same number of rows. ? Each matrix has the same number of columns. ? Corresponding elements within each matrix are equal. Examples Of Matrices Its dimensions are 2 ×3 2 rows and three columns The entries of the matrix below are 2, -5, 10, -4, 19, 4. The variable A in the matrix equation below represents an entire matrix. Types Of Matrices Vectors Vectors are a type of matrix having only one column or one row. ? Row vector or row matrix ? Column matrix or column vector ? Square Matrix A matrix in which numbers of rows are equal to number of columns is called a square matrix Diagonal Matrix A square matrix A is called a diagonal matrix if each of its non-diagonal element is zero.Read More

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