Week 14 of 43
Core DSA
WEEK 14 LEARNING MODULE
Matrices & 2D Grid Traversals
Covers two-dimensional array representations, row-major vs. column-major layouts, diagonal traversals, matrix transformations, and boundary edge cases.
3 Practice Problems4 Core ConceptsVerified Curriculum: high Confidence
What You'll Learn
- ✓Master 2D array coordinates, nested indexing (`matrix[row][col]`), and memory organization.
- ✓Implement row-major, column-major, main-diagonal, and anti-diagonal traversals.
- ✓Perform in-place matrix transformations: transposition, horizontal flipping, and dimension reshaping.
- ✓Safely navigate non-square $M \times N$ grids and handle empty/single-row boundary cases.
Core Concepts
2D Grid Coordinates & Indexing
Representing grid planes where row r ranges [0, R-1] and col c ranges [0, C-1].
Matrix Transposition
O(R * C)Swapping matrix[r][c] with matrix[c][r] to swap rows and columns.
Diagonal Invariant Properties
O(R * C)Main diagonals have constant r - c values; anti-diagonals have constant r + c values.
Matrix Reshaping
O(R * C)Mapping 2D coordinates to 1D index (r * C + c) and back to new 2D dimensions.
Algorithms Covered
Matrix TranspositionHorizontal Inversion & In-place Bit InversionMatrix ReshapingDiagonal Sum Accumulation
Data Structures Applied
2D Arrays / Matrices
“If you want to enjoy the rainbow, be prepared to endure the storm.”
— Warren W. Wiersbe