Linear Algebra with MapleV homework3
Email: lbg@kowon.dongseo.ac.kr
For a randomly generated 5x5 matrix A, verify the following identity.
- A adj(A) = adj(A) A = det(A) I
- adj(A)^t = adj(A^t)
- det(A) = det(A^t)
- the matrix B obtained by interchanging the first two rows of A satisfies det(B) = -det(A)
- any matrix obtained by adding a multiple of the first row to the second has the same determinant
- multiplying the first row by a scalar k changes the determinant by a mutiple of k
[Last Update: 1999.4.16] Dongseo University Cyber Campus
|