令Ifn=p, then this is a square matrix(方阵) A If a matrix has only one column, then this is called a column vector(列向量) o If there is only one row, then this is called a row vector r.(行向量) R=[2 2021/2/22 6 cxt
2021/2/22 6 cxt ❖ If n = p , then this is a square matrix（方阵）. ❖ If a matrix has only one column, then this is called a column vector（列向量）. ❖ If there is only one row, then this is called a row vector.（行向量）
令 Transpose of a Matrix(转置矩阵) denoted by a prime, is found by interchanging the rows and the columns.(将矩阵的行和列交换) The transpose of A, c and r above are C-Is,c.c R 4-4- 2021/2/22 cxt
2021/2/22 7 cxt ❖ Transpose of a Matrix（转置矩阵） denoted by a prime,is found by interchanging the rows and the columns.（将矩阵的行和列交换） The transpose of A, C and R above are:
◆例:给定一个矩阵A, a b c d 矩阵A的转置矩阵是?? a c A 2021/2/22 8
2021/2/22 8 cxt ❖ 例：给定一个矩阵A， 矩阵A的转置矩阵是？？
其他特殊矩阵形式和定义: 令 A zero matrix has all elements equal to zero.(零 矩阵) 000 000 000 o a diagonal matrix is a square matrix that has elements of zero, except down the main diagonal. (对角矩阵) 100 020 005 2021/2/22 cxt
2021/2/22 9 cxt 其他特殊矩阵形式和定义： ❖ A zero matrix has all elements equal to zero.（零 矩阵） ❖ A diagonal matrix is a square matrix that has elements of zero, except down the main diagonal. （对角矩阵） 000 000 000 1 0 0 0 2 0 0 0 5
o a symmetric matrix is a square matrix that is unchanged when it is transposed I.e.A=A.(对称矩 阵一矩阵的转置和它本身相等) 12) 23 23 2021/2/22 10 cxt
2021/2/22 10 cxt ❖ A symmetric matrix is a square matrix that is unchanged when it is transposed I.e. A’=A.（对称矩 阵—矩阵的转置和它本身相等）