Question

Assign newmatrixa with origmatrixa, then remove row delrow and column delcol from newmatrixa. Assign deletedelems with the deleted row and column values. If origmatrixa is [1, 3, 2; 4, 9, 5; 6, 7, 8; ], delrow is 1, and delcol is 2, then what is the value of newmatrixa and deletedelems?

1) newmatrixa = [4, 5; 6, 8]; deletedelems = [1, 3, 2, 9, 7]
2) newmatrixa = [1, 2; 6, 8]; deletedelems = [3, 4, 5, 9, 7]
3) newmatrixa = [1, 3; 6, 7]; deletedelems = [2, 4, 5, 8, 9]
4) newmatrixa = [1, 3; 4, 9]; deletedelems = [2, 5, 6, 7, 8]

Answer 1

When deleting the first row and the second column from the matrix [1, 3, 2; 4, 9, 5; 6, 7, 8], we obtain newmatrixa = [4, 5; 6, 8] and deletedelems = [1, 3, 2, 9, 7],(option 1) correct.

Step-by-step explanation:

The new matrix formed by deleting a specific row and column from the original matrix and also the collection of elements that were removed. Given the original matrix origmatrixa is [1, 3, 2; 4, 9, 5; 6, 7, 8], and we are asked to remove row 1 (delrow = 1) and column 2 (delcol = 2). Removing the first row and the second column will result in a new matrix, newmatrixa, consisting of the elements not in the first row or second column, and deletedelems containing all the elements that were in the deleted row and column.

After removal, newmatrixa should contain [4, 5; 6, 8], because these are the elements in the second and third rows and first and third columns. The elements that were deleted are from the first row [1, 3, 2] and the second column [3, 9, 7], with the second element (3) appearing twice because it is in both the deleted row and column. However, we do not need to repeat elements in deletedelems, so it will contain [1, 3, 2, 9, 7]. Therefore, option 1 is correct.