The transpose of a matrix A is the matrix B that is obtained by swapping the rows and columns of A into the columns and rows of B. In algebraic form, if A = {aij} then B = {aji} is its transpose, where 1 ≤ i ≤ n and 1 ≤ j ≤ m.
I keep getting phone calls for the pizzeria because so many people transpose some digits of their phone number.
a square matrix that is equal to its transpose
It need not be, so the question makes no sense!
I accidentally transposed the second and third numbers in the sequence.
Dele
To transpose means to switch something. When you transpose a piece of music, for example, you might be changing the key a song is played in, or the instruments used to perform it. In writing, when you transpose two letters, it means to type two contiguous letters in the reverse order, such as typing "paly" when you mean "play."
Put a period where it should be and then circle it.
Proofreaders
yes, it is true that the transpose of the transpose of a matrix is the original matrix
proofreaders
The proofreaders' symbol for a paragraph is typically ¶ (pilcrow). It is used to indicate the start of a new paragraph within a text.
Symbol Meaning Example insert a comma apostrophe or singlequotation mark insert something use double quotation marks use a period here delete transpose elements close up this space a space needed here begin new paragraph no paragraph these are commonly used
To transpose something means to change it or reverse the relative position of something. For example one might transpose the letters in a word to make a different word.
A proofer's mark is a symbol or notation used by proofreaders to indicate corrections that need to be made in a document or manuscript. These marks often consist of standard shorthand symbols that help the typesetter or author understand what changes are needed.
Definition: Transpose, change, switch
No, adjoint and transpose are not the same, although they are related concepts in linear algebra. The transpose of a matrix is obtained by flipping it over its diagonal, while the adjoint (or adjugate) refers to the transpose of the cofactor matrix. In the context of complex matrices, the adjoint often refers to the conjugate transpose, which combines both the transpose and complex conjugation.