Problem 796. Removing rows from a matrix is easy - but what about inserting rows?

Created by Dirk Engel

Solve Later

Assume A is a 5-by-5 matrix. A([2,4],:) = [] is a quick way to remove rows 2 and 4. Can you find a quick way to insert rows into A?

You are given a n-by-m matrix A, a 1-by-p vector of indices IND, and either a scalar value (1-by-1) or a p-by-m matrix b to be inserted AFTER rows IND of A. In case of a scalar value it should fill the whole row. Note that IND may contain duplicate indices, which means that more than one row should be inserted after that specific row index.

For example:

   A = [1 1; 
        3 3; 
        4 4];
   IND = [1 3];
   b = [2 2; 
        5 5];

should become

And

   A = [0 0; 
        1 1];
   IND = [1 1 2];
   b = NaN;

should become

   y = [0   0; 
        NaN NaN; 
        NaN NaN; 
        1 1; 
        NaN NaN];

Solve

Solution Stats

363 Solutions
99 Solvers

Last Solution submitted on Nov 27, 2019

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

Sean de Wolski on 27 Jun 2012

Many of the test cases are wrong.

For example:

A = (1:2:10)';
IND = 1:5;
b = (2:2:10)';
y_correct = (1:10)';

y_correct should be [2:2:10,1:2:10]'

The zeros one has zeros that are the wrong size etc.

Dirk Engel on 27 Jun 2012

I corrected one error regarding isequal with NaNs, but all the other test cases are correct.
A = [1 3 5 7 9]; IND = [1 2 3 4 5]; b = [2 4 6 8 10]; definitely should result in [1 2 3 4 5 6 7 8 9 10]! You have to insert b(1) after A(1), b(2) after A(2) and so on.

Christian Schröder on 9 Jul 2019

Nice problem, but the specification could be improved: from the description, you'd think the entire matrix b is supposed to be inserted after each row in IND; it's only the first example that makes it clear that this is not the case.