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Is it true that the transpose of the transpose of a matrix is the original matrix?

yes, it is true that the transpose of the transpose of a matrix is the original matrix


Are adjoint and transpose the same?

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.


What is the definition of unitary matrix?

It is the conjugate transpose of the matrix. Of course the conjugate parts only matters with complex entries. So here is a definition:A unitary matrix is a square matrix U whose entries are complex numbers and whose inverse is equal to its conjugate transpose U*. This means thatU*U = UU* = I. Where I is the identity matrix.


Two consecutive numbers are called what?

They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".They are called just that: "consecutive numbers".


Why do you add an integer opposite when subtracting integers?

to make the integer zero for example: 2x+7y=7x+9 in this step's need to transpose 7x to the left member, 2x-7x+7y=7x-7x+9 look! it become zero and 7x is already transpose to the left member then that's the purpose of adding its opposite We use the opposite of a real numbers to distinguish the number from a negative number. The opposites of reals are real, whereas negative numbers are imaginary numbers. In the above example values and variables are assumed to be real.

Related Questions

What is the definition of transpose in regards to a matrix?

The Transpose of a MatrixThe matrix of order n x m obtained by interchanging the rows and columns of the m X n matrix, A, is called the transpose of A and is denoted by A' or AT.


Is it true that the transpose of the transpose of a matrix is the original matrix?

yes, it is true that the transpose of the transpose of a matrix is the original matrix


Why does b flat trombone not transpose on reading bass clef?

The Trombone does NOT transpose, the player does. With that said, if the music is written in Bb Bass Clef, one does transpose in Bass clef. Most Bass Clef music is in C Bass clef, but the player has learned how to read in concert pitch, so there is no transposition needed.


What is the word called when you make or become different?

change, alter, morph, transpose...


What is it called to change?

It depends in what context you are talking. Metamorphosis, evolve, transpose, replace...


What word means to reverse the order or position of numbers?

I can only think of the words rearrange or more specifically, to transpose.


What is a sentence with transposed?

I accidentally transposed the second and third numbers in the sequence.


Examples of transpose sentence?

Definition: Transpose, change, switch


What is the name of the ability that causes you not to be able to read numbers?

The disability that causes you not to be able to read numbers is called dyslexia. Dyslexic people struggle with reading and writing numbers.


Are adjoint and transpose the same?

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.


How can I transpose a song to a different key effectively?

To transpose a song to a different key effectively, you need to identify the current key of the song and the key you want to transpose it to. Then, you can use a music theory concept called the circle of fifths to determine how many steps you need to move the notes up or down to achieve the desired key. Finally, you can use a music notation software or transpose the chords and melody manually to complete the process.


What is the prefix for transpose?

prefix: trans sufix: ed