A linear equation in two variables for example, and is an equation of the form , for example, . Matrices Addition of matrices If and are matrices of the same size (order) and the elements of are and the elements of are , then the elements of are For example, if SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. and = SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. then SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. Elements (entries) of a matrix The symbol represents the () element occurring in the row and the column. For example, a general 3 2 matrix is: SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. where is the element in the third row and the second column. Identity matrix A multiplicative identity matrix is a square matrix in which all of the elements in the leading diagonal are 1’s and the remaining elements are 0’s. Identity matrices are designated by the letter . For example, and are both identity matrices. There is an identity matrix for each size (or order) of a square matrix. When clarity is needed, the order is written with a subscript: Leading diagonal The leading diagonal of a square matrix is the diagonal that runs from the top left corner to the bottom right corner of the matrix. Matrix (matrices) A matrix is a rectangular array of elements or entities displayed in rows and columns. For example, = SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined.
A linear equation in two variables for example, and is an equation of the form , for example, . Matrices Addition of matrices If and are matrices of the same size (order) and the elements of are and the elements of are , then the elements of are For example, if SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. and = SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. then SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. Elements (entries) of a matrix The symbol represents the () element occurring in the row and the column. For example, a general 3 2 matrix is: SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined. where is the element in the third row and the second column. Identity matrix A multiplicative identity matrix is a square matrix in which all of the elements in the leading diagonal are 1’s and the remaining elements are 0’s. Identity matrices are designated by the letter . For example, and are both identity matrices. There is an identity matrix for each size (or order) of a square matrix. When clarity is needed, the order is written with a subscript: Leading diagonal The leading diagonal of a square matrix is the diagonal that runs from the top left corner to the bottom right corner of the matrix. Matrix (matrices) A matrix is a rectangular array of elements or entities displayed in rows and columns. For example, = SHORT ANSWER QUESTIONS Error! Bookmark not defined. SHORT ANSWER QUESTIONS Error! Bookmark not defined.