Show that a matrix A is invertible, if and only if A is non-singular.
Asked by Topperlearning User | 2nd May, 2016, 09:35: AM
Let A square matrix of order n, then there exists a square matrix of order n such that AB = I, where I is the identity matrix of order n.
Answered by | 2nd May, 2016, 11:35: AM
- Define co-factor of an element of matrix.
- Find the cofactors of all the elements of the determinant .
- Define adjoint of a matrix.
- Find the Adj A for matrix A =
- Define singular matrix.
- If , verify that (AB)–1 = B–1A–1.
- Find the matrix A, which satisfy the matrix equation,
- Show that A = satisfy the equation x2 – 5x – 14 = 0.
- Find the inverse of A, if
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