Row and column matrix operations

You can also swap columns to get the matrix into desired form. The rank of the matrix is 2 and there is I2 present.
  • #1
Shackleford
1,656
2
Are you allowed to mix and match row and column operations? For (a), using only row operations, I cannot get the matrix into the form they want. Could I swap a few of the columns around to do so?

For (b), I got it into the form they want. The rank of the matrix is 2 because I have I2 there.

http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110620_195851.jpg

http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110620_210944.jpg

http://i111.photobucket.com/albums/n149/camarolt4z28/IMG_20110620_195802.jpg
 
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  • #2
You can do column and row operations when finding the determinant.
 

Related to Row and column matrix operations

1. What is the difference between a row and column matrix?

A row matrix is a single row of numbers, while a column matrix is a single column of numbers. In terms of operations, a row matrix can only be multiplied by a column matrix, while a column matrix can only be multiplied by a row matrix.

2. How do you add or subtract row and column matrices?

To add or subtract row or column matrices, the matrices must have the same dimensions. Simply add or subtract the corresponding elements in each matrix to get the result.

3. What is the process for multiplying a row matrix by a column matrix?

To multiply a row matrix by a column matrix, the number of columns in the row matrix must match the number of rows in the column matrix. Then, multiply each element in the row matrix by the corresponding element in the column matrix and add the products together.

4. Can you multiply two row or two column matrices?

No, two row matrices or two column matrices cannot be multiplied together. This is because the number of columns in the first matrix must match the number of rows in the second matrix for multiplication to be possible.

5. How do you find the inverse of a row or column matrix?

To find the inverse of a row or column matrix, first calculate the determinant of the matrix. If the determinant is not equal to 0, then the matrix has an inverse. The inverse can then be found using the appropriate formula for the type of matrix (row or column).

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