Consider the following in respect of the matrix $\rm A = \begin{bmatrix} 1 & 1 & 1\\ 1 & 1 & 1\\ 1 & 1 & 1 \end{bmatrix}$

1. Inverse of A does not exist

2. A³ = A

3. 3A = A²

Which of the above are correct?

Direction: Consider the following for the next two (02) items that follow.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

What are the coordinates of the center of the circle?

Direction: Consider the following for the next two (02) items that follow.

A circle is passing through the points (5, -8), (-2, 9) and (2, 1).

If r is the radius of the circle, then which one of the following is correct?

Direction: Consider the following for the next two (02) items that follow.

The two vertices of and equilateral triangle are (0, 0) and (2, 2).

Consider the following statements:

1. The third vertex has at least one irrational coordinate.

2. The area is irrational.

Which of the above statements is/are correct?