Matrix Determinants

Related BrainMass Solutions

• Linear Algebra: Rank

  a 2x3 matrix.

• Properties of Determinants : Orthogonal Matrix and Parallelepiped

  Determinants of an orthogonal matrix are investigated and discussed. The solution is detailed and well presented.

• Proof about determinants

  Now for a general elementary matrix , is a multiplication of the above three types. Thus we have Therefore, we always have . Done. This is a proof regarding determinants of elementary matrix and arbitrary square matrix.

• Systems of Equations : Real World Situations and Solving Determinants

  These smaller determinants are known as minor, Mi,j. The minor of a square matrix A with dimension k x k is defined as the determinant of a new matrix with dimension (k - 1) x (k - 1), formed by eliminating ith row and jth column from matrix A.

• Determinants

  4 5  3x3 matrix) For a 3x3 matrix, the best method is Sarrus' Method, but remember that this is not applicable to higher diemnsion matrices.

• Matrices : Systems of Equations and Determinants

  127030 Matrices: Systems of Equations and Determinants 1. Solve the system of equations by using inverse matrix methods: 5x - y = 1 3x + y = 0 2.

• Matrix Determinants, Transposes and Inverses

  Matrix determinants, transposes and inverses are investigated. The solution is detailed and well presented.

• Determinants and Cramer's Rule : Row Operations and Effect on Determinant, Computing Determinants and Solving Systems of Equations

  52110 Determinants and Cramer's Rule : Row Operations and Effect on Determinant, Computing Determinants and Solving Systems of Equations 1.

• Determinants, Cofactors and Permutations

  37746 Determinants, Cofactors and Permutations Q1. Suppose An is the n by n tridiagonal matrix with 1's everywhere on the three diagonals... Let Dn be the determinant of An; we want to find it.

• Invertible Matrix over Complex Numbers

  The matrix A is invertible in C[X] if and only if its determinant is invertible in C[X]. The matrices A(z) are invertible if and only if their determinants are invertible in C, that is, if their determinants are nonzero.