The transpose of a matrix, denoted A^T, is formed by writing its columns as rows. Find the transpose of each matrix and verify that (AB)^T = B^TA^T.A=(bmatrix)-1&1&-22&0&1(bmatrix), B=(bmatrix)-3&01&21&-1(bmatrix) 相关知识点: 试题来源: 解析 A^T=(bmatrix)-1&2...
A matrix formed by interchanging the rows and columns of a given matrix. [Middle English transposen, to transform, from Old French transposer, alteration (influenced by poser, to put, place) of Latin trānspōnere, to transfer : trāns-, trans- + pōnere, to place; see apo- in Indo-...
For any square matrix A with real number entries, A+A′ is a symmetric matrix and A−A′ is a skew-symmetric matrix. Transpose of a Matrix: If Am×n is a matrix with elements aij, then a matrix A′ is known as the ...
The Subtranspose of a Matrix and the Metapositive Definiteness of a Sub-symmetric Matrix 来自 知网 喜欢 0 阅读量: 15 作者: Z Qin 摘要: An introduction to subtranspose of a matrix and its simple properties is repretsented,and the metapositive definiteness of a sub-symmetric matrix is ...
Because we can think about the three different types of elementary matrix for row operation.First,multiplying row operation--E=E(transpose).Second,interchanging row operation--E=E(transpose). Third,adding a multiple of a row operation--if E is to add n*ith row to jth row,then E(transpose...
the inverse of a matrix
square matrix- a matrix with the same number of rows and columns real matrix- a matrix whose elements are all real numbers transpose- a matrix formed by interchanging the rows and columns of a given matrix 2.matrix- (geology) amass of fine-grained rock in which fossils, crystals, or gems...
Third,adding a multiple of a row operation--if E is to add n*ith row to jth row,then E(transpose) is to add n*jth row to ith row,but they are the same type of row operation.In sum,the transpose of an elementary matrix is an elementary matrix of the same "type". 解析看不懂?
There's nothing more deserving mentioning aboutthe matrix transpose,but it will play an important role in algebra: At this stage,we just need to know the following things: (AB)T=BTAT;(A+B)T=AT+BT;(cA)T=cAT;(AT)T=A We have known thatdet(abcd)=ad−bc,and it can have a geomet...
--Let A be an n*n matrix and let M ij denote the (n-1)*(n-1) matrix obtained from A by deleting the row and column containing a ij. We define the cofactor A ij of a ij by A ij=(-1)i+j det(M ij)--det(A) can be expressed as a cofactor expansion using any row or ...