Question

Given an identity matrix I2. Find |3I2|.​

Answer 1

Answer:

9

Step-by-step explanation:

As I2 is an identity matrix of second order

So I2 = [1001]

And det(I2 ) = 1*1 - (0*0) = 1

And 3I2 means all the element are multiplied by 3.

Hence 3I2 = [3003]

Hence det(3I2 ) = 3*3 - 0*0 = 9 (ans)