For a matrix to be in row reduced echelon form, which of the following conditions is NOT satisfied?

If matrix A = [[1, 0], [-1, 1]], then find An.

If matrix A = [[1, 0], [0, 3]], then find the value of A5.

Given below are two statements, one labeled as Assertion (A) and the other as Reason (R): Assertion (A): A matrix in which the number of rows and columns are equal is called a square matrix. Reason (R): A matrix is called a unit matrix if all diagonal elements are zero and non-diagonal elements are unity. In light of the above statements, choose the correct answer from the options given below:

If A is a 2×2 matrix and B is a 2×2 matrix, which statement is correct regarding the product AB?

If A = [2 05 6] and B = [3 64 1], what is A + B?

If A is a 2×2 matrix and B is a 2×2 matrix, which statement is correct regarding product matrix AB?

If for a matrix A, |A| = 6 and adj A = [1, -2, 4; 4, 1, 1; -1, k, 0], then the value of k is equal to:

Let A, B and C be three 2 × 2 matrices with real entries such that B = (I + A)−1 and A + C = I. If BC = [1−5][−12] and CB [x1][x2] = [12][−6], then the value of x1 + x2 is: