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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


How do you write a C program to find the adjoint of a matrix?

To write a C program to find the adjoint of a matrix, first, you need to create a function to calculate the cofactor of each element in the matrix. Then, construct the adjoint by transposing the cofactor matrix. The program should read the matrix size and elements from user input, compute the cofactors using nested loops, and finally display the adjoint matrix by transposing the cofactor matrix. Make sure to handle memory allocation for dynamic matrices if needed.


12x plus 6 equals 9x-15?

-7 (negative 7) transpose the 9x then transpose the 6. divide both sides by 3x and your answer will be -7 =]


What is transpose of the sparse matrix?

Another sparse matrix.


How do find matrix inverse of 4cross 4matrix?

Next to your 4x4 matrix, place the 4x4 identity matrix on the right and adjoined to the one you want to invert. Now you can use row operations and change your original matrix on the left to a 4x4 identity matrix. Each time you do a row operation, make sure you do the same thing to the rows of the original identity matrix. You end up with the identity now on the left and the inverse on the right. You can also calculate the inverse using the adjoint. The adjoint matrix is computed by taking the transpose of a matrix where each element is cofactor of the corresponding element in the original matrix. You find the cofactor t of the matrix created by taking the original matrix and removing the row and column for the element you are calculating the cofactor of. The signs of the cofactors alternate, just as when computing the determinant

Related Questions

What is an adjoint matrix?

The classical adjoint of a square matrix A the transpose of the matrix who (i, j) entry is the a i j cofactor.


What is an adjoint?

An adjoint is a matrix in which each element is the cofactor of an associated element of another matrix.


How can one determine if an operator is Hermitian?

To determine if an operator is Hermitian, one must check if the operator is equal to its own conjugate transpose. This means that the operator's adjoint is equal to the operator itself. If this condition is met, then the operator is Hermitian.


Adjoint operator of a complex number?

Adjoint operator of a complex number?


Determinant of adjoint a is given find determinant of a?

relationship between determinant and adjoint


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


How do you transpose music effectively?

To transpose music effectively, you need to understand the original key and the key you want to transpose to. Then, you can use a music theory knowledge to move each note up or down the same interval to maintain the song's structure and harmony. Practice and familiarity with different keys will help you transpose music accurately.


Switch rows and columns in Excel?

Columns and rows can be swapped by transposing them. You can copy a row of cells and using Paste Special and the Transpose option the data can be put into columns. You can do the same with data in columns and transpose them into rows. There is also a Transpose function in Excel.


How can I transpose key signatures effectively?

To transpose key signatures effectively, you can move all notes in the music up or down by the same interval. For example, to transpose from C major to G major, you would move all notes up a perfect fifth. This will change the key signature and maintain the same relationships between the notes.


Examples of transpose sentence?

Definition: Transpose, change, switch


How to transpose keys in music?

To transpose keys in music, you need to change all the notes in a piece of music to a different key. This involves shifting all the notes up or down by the same interval. This can be done manually by rewriting the music in the new key or using software to automatically transpose the notes.


How to transpose guitar chords to a different key?

To transpose guitar chords to a different key, you can use a capo or manually shift each chord up or down the same number of steps as the key change.