Engineering Mathematics

                                         Mathematics is the Queen of Science

Properties of Matrix

•  A(adjA) = (adjA) A = |A| In

• adj(kA) = k^n-1 (adjA)

•  adj(AB) = (adjB). (adjA)

• a square matrix A is said to be singular if |A| = 0 and non singular if |A| is not equal to zero

• a square matrix is said to be symmetric if A^T = A and skew symmetric if A^T = -A

• The main diagonal elements of a skew symmetric matrix are zero

• If A is orthogonal matrix then |A| not equal to zero , in fact |A| = plus or minus 1

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