Find the Inverse [[12,23],[12,23]]

Problem

[[12,23],[12,23]]

Solution

1. Identify the matrix A as a 2×2 matrix where A=[[a,b],[c,d]]

2. Calculate the determinant of the matrix using the formula det(A)=a*d−b*c

3. Substitute the values into the determinant formula: det(A)=(12)*(23)−(23)*(12)

4. Evaluate the result: det(A)=276−276=0

5. Conclude that because the determinant is zero, the matrix is singular and does not have an inverse.

Final Answer

The matrix *[[12,23],[12,23]]* is singular and has no inverse.

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