Question

Suppose that A matrix has 12 elements what are the possible order it can have ?what if ithas 7 element

Answer 1

for 12 elements , possible orders are 1×12, 2×6, 3×4 , 4×3 and 12×1.
for 7 elts. possible orders are only 1×7 and 7×1

Answer 2

6 possible orders for a matrix with 12 elements and 2 possible orders for a matrix with 7 elements

Matrix:

• Matrix is of order  m x n
• where m represent number of rows
• n represent number of columns
• Matrix is square matrix if  m = n
• Number or elements in matrix = m x n

Step 1:

Find  12 as product of 2 numbers

12 = 1 x 12

12 = 2 x 6

12 = 3 x 4

12 = 4 x 3

12 = 6 x 2

12 = 12 x 1

Hence there are 6 possible order of matrix with 12 elements

(1 x 12) , ( 2 x 6) , ( 3 x 4) , ( 4 x 3) , ( 6 x 2) , ( 12 x 1)

Step 2:

Find 7 as product of 2 numbers

7 = 1 x 7

7 = 7 x 1

Hence there are 2 possible order of matrix with 7 elements

(1 x 7) , ( 7 x 1)

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