Question

how many types of matrices can be obtained with 36 elments​

Answer 1

Total elements in matrix=36

∴ Possible matrices are

6×6 (6 rows 6 columns)

1×36 (1 row 36 columns)

36×1 (36 rows 1 columns)

18×2 (18 rows 2 columns)

2×18 (2 rows 18 columns)

9×4 (9 rows 4 columns)

4×9 (4 rows 9 columns)

12×3 (12 rows 3 columns)

3×12 (36 rows 12 columns)

∴ Total matrices = 9.

Answer=9

$\: \: \:$

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Answer 2

Total elements in matrix=36

∴ Possible matrices are

6×6 (6 rows 6 columns)

1×36 (1 row 36 columns)

36×1 (36 rows 1 columns)

18×2 (18 rows 2 columns)

2×18 (2 rows 18 columns)

9×4 (9 rows 4 columns)

4×9 (4 rows 9 columns)

12×3 (12 rows 3 columns)

3×12 (36 rows 12 columns)

∴ Total matrices = 9.

Hope it will helps you ❤️