If i is raised to an odd power, then it can not simplify to be 1. -1 2. -i 3. i

1. -1

Step-by-step explanation:

Since we know that i is an imaginary number. We also know that and .

Let us see i raised to different powers.

We can see that when we raise i to 3rd power and 7th power we got -i and when we raised i to 5th and 9th power we got i.

Therefore, if we raise i to an odd power, it can not simplify to be -1 and 1st option is the correct choice.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b