Simplify the Matrix x=[[-1,1],[2,-2]]

Problem

X=[[−1,1],[2,−2]]

Solution

1. Identify the matrix X as a 2×2 square matrix.

2. Observe the relationship between the rows of the matrix.

3. Factor out a constant from the second row to see if the rows are linearly dependent.

4. Notice that the second row is exactly −2 times the first row, which means the matrix is singular (its determinant is zero).

5. Simplify the expression by representing the matrix in its standard form, as there are no further arithmetic operations or variables to combine.

Final Answer

X=[[−1,1],[2,−2]]

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