Mathematics - Vectors and Matrices
- Option : A
- Explanation : According to Rouche's theorem, the system is consistent if and only if the coefficient matrix and the augmented matrix K are of the same rank, otherwise the system is inconsistent.
You must be logged in to post a comment.
7. Rank of the diagonal matrix
- Option : D
- Explanation : Since the number of non-zero elements on this diagonal matrix is four, hence the rank is four.
You must be logged in to post a comment.
You must be logged in to post a comment.
|
- Option : D
- Explanation : Determinant A = 1 (cos2Θ + sin2Θ) Hence A is non-singular and A-1 exists
You must be logged in to post a comment.
You must be logged in to post a comment.
9. The matrix B = AT, where A is any matrix is
- Option : C
- Explanation :
You must be logged in to post a comment.
You must be logged in to post a comment.
10. Eigen values of a real symmetric matrix are always
- Option : D
- Explanation :
You must be logged in to post a comment.
You must be logged in to post a comment.
You must be logged in to post a comment.