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Dot Product. Cross Product. De Moivre’s Theorem. DeMoivre's Theorem is true even if n is a complex number (has a real part and possibly an imaginary part), but when n is an integer we can prove the formula easily by using some basic trigonometry. Determinant of a Matrix.

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de moivre s theorem
De Moivre’s Theorem

DeMoivre's Theoremis true even if n is a complex number (has a real part and possibly an imaginary part), but when n is an integer we can prove the formula easily by using some basic trigonometry.

determinant of a matrix
Determinant of a Matrix

For a matrix A defined as

Where Cij is the cofactor and k is an integer between 1 and n

minor and cofactor
Minor and Cofactor

The minor, Mij, of the element a in a matrix A is the determinant of the matrix that remains after we delete the row i and column j containing aij. The relationship between cofactor, Cij, and minor, Mij, is defined as follows:

cramer s rule
Cramer’s Rule

To solve a system of equations