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Understanding Matrix Structure for Efficient Data Storage

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Learn how to represent data arrays as matrices for better organization and processing. Explore the concept through examples and practical applications.

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Understanding Matrix Structure for Efficient Data Storage

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  1. intmatrixArray[12] The elements in an array are stored in a series of contiguous memory locations, each holding a piece of integer data. Often we representdata in different structures, such as a Matrix. • Why? • Picture files (gifs, bitmaps or jpegs) • Area Plots Note! It is still a linear array of integers in our code. But we want to treat it as a Matrix.

  2. intmatrixArray[12]

  3. intmatrixArray[12] Row = 3 Coln = 4

  4. intmatrixArray[12] Row = 3 Coln = 4

  5. intmatrixArray[12] Row = 3 Coln = 4

  6. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln)

  7. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln)

  8. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) (0 * 4) = 0

  9. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) (0 * 4) = 0 (1 * 4) = 4

  10. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) (0 * 4) = 0 (1 * 4) = 4 (2 * 4) = 8

  11. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) + c (0 * 4) = 0 (1 * 4) = 4 (2 * 4) = 8

  12. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) + c (0 * 4) = 0 + 1 = 1 (1 * 4) = 4 + 1 = 5 (2 * 4) = 8 + 1 = 9

  13. intmatrixArray[12] intgetIndex(intr, intc, intcoln, introw) Row = 3 Coln = 4 Index = (r * coln) + c (0 * 4) = 0 + 2 = 2 (1 * 4) = 4 + 2 = 6 (2 * 4) = 8 + 2 = 10

  14. intmatrixArray[12] void getRowColn(intindex,intcoln, introw, int&r, int&c) Row = 3 Coln = 4

  15. intmatrixArray[12] void getRowColn(intindex,intcoln, introw, int&r, int&c) Row = 3 Coln = 4 r = i / coln; c = i % coln; r = 6 / 4 = 1 c = 6 % 4 = 2

  16. intmatrixArray[12] Row = 3 Coln = 4

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