Simplify the Matrix matriz [[1,1],[0,2]]

Problem

[[1,1],[0,2]]

Solution

1. Identify the matrix provided. The matrix is a 2×2 upper triangular matrix.

2. Determine the objective. Since the matrix is already in row-echelon form and its entries are simplified integers, the most common simplification for a square matrix is to find its characteristic properties or its reduced row-echelon form.

3. Calculate the reduced row-echelon form (RREF). To reach RREF, the leading entries (pivots) must be 1 and all entries above and below pivots must be 0.

4. Divide the second row by 2 to make the second pivot equal to 1.

[[1,1],[0,1]]

5. Subtract the second row from the first row to create a zero above the second pivot.

[[1,0],[0,1]]

Final Answer

rref*[[1,1],[0,2]]=[[1,0],[0,1]]

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