To determine the value of the determinant when two rows of a square matrix are identical, we can follow these steps:

1. Start with the given square matrix.
2. Identify the two identical rows.
3. Swap one of the identical rows with a different row in the matrix.
4. Calculate the determinant of the modified matrix using any method (such as expansion by minors or row operations).
5. The value of the determinant obtained in step 4 will be the same as the original determinant.

Therefore, the value of the determinant remains the same when two rows of a square matrix are identical.

Question

To determine the value of the determinant when two rows of a square matrix are identical, we can follow these steps:

1. Start with the given square matrix.
2. Identify the two identical rows.
3. Swap one of the identical rows with a different row in the matrix.
4. Calculate the determinant of the modified matrix using any method (such as expansion by minors or row operations).
5. The value of the determinant obtained in step 4 will be the same as the original determinant.

Therefore, the value of the determinant remains the same when two rows of a square matrix are identical.

Knowee AI · Accepted Answer

To determine the value of the determinant when two rows of a square matrix are identical, we can follow these steps:

1. Start with the given square matrix.
2. Identify the two identical rows.
3. Swap one of the identical rows with a different row in the matrix.
4. Calculate the determinant of the modified matrix using any method (such as expansion by minors or row operations).
5. The value of the determinant obtained in step 4 will be the same as the original determinant.

Therefore, the value of the determinant remains the same when two rows of a square matrix are identical.

f two rows of any square matrix are identical, then the value of determinant is:2−11

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