Which sequence represents the progression for a 4x2 matrix?

Which sequence represents the progression for a 4x2 matrix?

• A. 4x1 -> 4x2 -> 4x3 -> 4x4
• B. 1x3 -> 1x4 -> 2x3 -> 2x4 -> 3x3 -> 3x4 -> 4x3 -> 4x4
• C. 1x1 -> 1x2 -> 2x1 -> 2x2 -> 3x1 -> 3x2 -> 4x1 -> 4x2
• D. 2x2 -> 2x3 -> 3x2 -> 3x3

Answer: (C)

Key idea: how you index and visit every element in a 4x2 matrix. With 4 rows and 2 columns, a natural row-by-row traversal fixes the row and moves across the two columns, then advances to the next row. That gives the sequence of coordinates: 1x1, 1x2, 2x1, 2x2, 3x1, 3x2, 4x1, 4x2. This covers all eight positions exactly once within the matrix bounds. The other options either try to use more columns than exist or skip or jumble positions, so they don’t represent a complete, valid row-major progression for a 4x2 matrix.

Key idea: how you index and visit every element in a 4x2 matrix. With 4 rows and 2 columns, a natural row-by-row traversal fixes the row and moves across the two columns, then advances to the next row. That gives the sequence of coordinates: 1x1, 1x2, 2x1, 2x2, 3x1, 3x2, 4x1, 4x2. This covers all eight positions exactly once within the matrix bounds. The other options either try to use more columns than exist or skip or jumble positions, so they don’t represent a complete, valid row-major progression for a 4x2 matrix.