Question

number of all possible 2×2 matrices with entries 0 or 1 is​

Answer 1

Step-by-step explanation:

For 2X2 matrix with element 0

0*0-0*0=0

For 2X2 matrix with element 1

1*1-1*1=0

Answer 2

Step-by-step explanation:

In a 2 × 2 matrix, the total number of elements present are 4. Each element can be replaced with either 1 or 0. Thus, there are two ways of filling each of the four spaces.

Thus the total number of such matrices will be 2×2×2×2  = 2⁴ matrices.

Therefore, the number of possible matrix of 2×2 order with each entry as 0 or 1 is equal to 16.