The system of linear equations G11G + G12?! = 51 (213: + a223,! = 52 has a unique solution whenever (111:122 0.12 (121 7E D . This quantity is called the determinant of the coefficient matrix, and is denoted by G11 G12 G11 G12 det ( ) = |= G11G22 G12G21-- G21 G22 G21 G22 Compute 3 1 odet = -. ' (5 2) .1 :1 1 a, -det = -. ' (1 b) .1 :1 4 6 . d t = I. ' e (10 15) E] Determinants enable you to easily identify when a system of linear equations has a unique solution. For example, the solution to the equations 3:: + y = 2016 5:13 + 2y = 300071", is unique v