Mastering Matrices

The value of the determinant of a 3x3 matrix can be found by applying the formula ad - bc + ae - bd + af - ce.

Simultaneous equations in three unknowns can be solved using Cramer's rule by finding the determinants of the coefficient matrix and the matrices obtained by replacing each column with the constants. The solutions are then obtained by dividing these determinants.

Some key concepts related to matrices include algebra of matrices, transpose, adjoint, inverse of a matrix, and solving simultaneous equations using the matrix method.

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