 Hi, and welcome to the session. I am Shashi. Let us do one question. Question is, choose the correct answer in the following questions. Question is, if A is a square matrix such that A square is equal to A, then I plus A whole cube minus 7A is equal to A matrix A, B, I minus matrix A, I is the identity matrix, C, identity matrix that is I, D, 3A. Now start with the solution, A divided by A square is equal to A, I plus A whole square must be equal to I plus A multiplied by whole square is equal to I multiplied by I is equal to I, A multiplied by A is equal to A, A multiplied by I is also equal to A plus A multiplied by A is equal to A square. We know it is equal to IA is equal to, this is the rule what we have applied here. Now we are given in the question that A square is equal to A, so we will write I plus A plus A plus A, this is because A square is equal to A. Now this is further equal to I plus 3A, so we get I plus A whole square is equal to I plus 3A. Now we have to find the value of I plus A cube, so we can write I plus A whole cube is equal to I plus A whole square multiplied by I plus A. Now I plus A whole square is equal to I plus 3A so we can write it equal to I plus 3A multiplied by I plus A. Now we get I multiplied by I plus A I plus 3A multiplied by I plus 3A multiplied by A. Now we know I multiplied by I is equal to I itself, A I is equal to A, similarly here A multiplied by I is equal to A so we can write 3A plus 3A square. Now this is further equal to I plus A plus 3A plus 3A as A square is equal to A as given in the question. Now this is further equal to I plus 7A, so we can write I plus A whole cube is equal to I plus 7A. Now subtracting 7A on both sides we get I plus A whole cube minus 7A is equal to I plus 7A minus 7A. Now 7A and 7A will get subtracted and we get I plus A whole cube minus 7A equal to I. So we can see I plus A whole cube minus 7A is equal to I so our correct answer is C. This is our correct answer. Complete the session. Hope you understood the session. Take care and goodbye.