In more detail
The determinant of a 2×2 matrix with rows (a, b) and (c, d) is ad − bc: for rows (1, 2) and (3, 4) it is −2, and a determinant of zero means the matrix has no inverse. Systems of linear equations are solved with matrices.
A matrix is a rectangular grid of numbers used to represent linear equations, transformations and data.
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The determinant of a 2×2 matrix with rows (a, b) and (c, d) is ad − bc: for rows (1, 2) and (3, 4) it is −2, and a determinant of zero means the matrix has no inverse. Systems of linear equations are solved with matrices.