Question

If a and b are matrix with 32 and 56 elements respectively, then the probability that ab exists is

Answer 1

1/12 is the probability that ab exists if a and b are matrix with 32 and 56 elements respectively,

Step-by-step explanation:

a and b are matrix with 32 and 56 elements respectively

a =

rows * columns

1  * 32

2 * 16

4 * 8

8 * 4

16 * 2

32 * 1

b =

rows * cloumn

1 * 56

2 * 28

4 * 14

7 * 8

8 * 7

14 * 4

28 * 2

56 * 1

6 * 8  = 48  possible combination

The number of columns of the 1st matrix must equal the number of rows of the 2nd matrix for multiplication

4 Valid combination -  

4 * 8  & 8 * 7   , 8 * 4 & 4 * 14  , 16 * 2 & 2 * 28  ,  32 * 1 & 1 * 56

Probability = 4/48 = 1/12

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