If a2 = i, where i is the identity matrix, which matrix correctly represents matrix a?

We know that

We also know that

Now, it has been given to us that

Therefore, we will have to find the correct from the given options and we find that when:

then

Therefore, from the above given options, Option C is the correct option.

Therefore, is the correct answer.

C. [3, -2]

    [4, -3]

Step-by-step explanation:

PLAT

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.