Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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make code no if or returns

(Row Replacement) Another very common row operation from linear algebra is the
row replacement operation. With this operation, we begin with an original matrix
and produce a new matrix where one row has been replaced by the result of adding a
mutiple of another row to it. This can be denoted
R, - R; + aR;
where a represents the multiplier and R; and R; refer to rows i and j.
row_replace Function:
Input parameters:
• an m xn matrix A (note: the dimensions are not passed in)
• two scalars which represent the rows i and j described above, respectively
• a scalar which represents the multiplier a described above
Output parameters:
• a new matrix representing the resulting matrix from performing the de-
sired row replacement operation on A
A possible sample case is:
>> mat_B = row_replace ([1:4 ; 2:5 ; 3:6 ; 4:7], 2, 3, -1)
mat B =
1
3
4
-1
-1
-1
-1
4
6
4 5 6
7
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Transcribed Image Text:(Row Replacement) Another very common row operation from linear algebra is the row replacement operation. With this operation, we begin with an original matrix and produce a new matrix where one row has been replaced by the result of adding a mutiple of another row to it. This can be denoted R, - R; + aR; where a represents the multiplier and R; and R; refer to rows i and j. row_replace Function: Input parameters: • an m xn matrix A (note: the dimensions are not passed in) • two scalars which represent the rows i and j described above, respectively • a scalar which represents the multiplier a described above Output parameters: • a new matrix representing the resulting matrix from performing the de- sired row replacement operation on A A possible sample case is: >> mat_B = row_replace ([1:4 ; 2:5 ; 3:6 ; 4:7], 2, 3, -1) mat B = 1 3 4 -1 -1 -1 -1 4 6 4 5 6 7
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