If |A| = 2, where A is a 2 2 matrix, then |4A 1| equals :

The determinant of a scalar multiple of a matrix is the scalar raised to the power of the dimension of the matrix times the determinant of the matrix. In this case, the scalar is 4 and the dimension of the matrix is 2 (since it's a 2x2 matrix). Therefore, the determinant of 4A is 4^2 * |A| = 16 * 2 = 32.

The question seems to be incomplete or incorrectly formatted. The determinant of a matrix is usually denoted as |A|, but it's unclear what |4A 1| means in this context. If you're asking about the determinant of a matrix 4A, where A is a 2x2 matrix and |A| = 2, then the determinant of 4A would be 16 (since the determinant scales linearly with the matrix). However, the "1" in |4A 1| is not clear. Please provide a complete and correctly formatted question.