If A and B are square matrices of size n x n, then which of the following statement is not true?
A. | det. (AB) = det (A) det (B) |
B. | det (kA) = kn det (A) |
C. | det (A + B) = det (A) + det (B) |
D. | det (AT) =1/det (A-1) |
Option: C Explanation : Click on Discuss to view users comments. JAGADEESH said: (3:04am on Saturday 23rd December 2017)
}if A={1,2:3,4}= Bdet A=-2det B=-2det (A B)=-8hence proved
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In the matrix equation Px = q. which of the following is a necessary condition for the existence of at least one solution for the unknown vector x?
A. | Augmented matrix [Pq] must have the same rank as matrix P |
B. | Vector q must have only non-zero elements |
C. | Matrix P must be singular |
D. | None of these |
Option: A Explanation : Click on Discuss to view users comments. |
Rank of the diagonal matrix
A. | 1 |
B. | 2 |
C. | 3 |
D. | 4 |
Option: D Explanation : Since the number of non-zero elements on this diagonal matrix is four, hence the rank is four. Click on Discuss to view users comments. |
Matrix, A =
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A. | orthogonal |
B. | non-singular |
C. | have A-1 exists |
D. | both (b) & (c) |
Option: D Explanation : Determinant A = 1 (cos2Θ + sin2Θ) Hence A is non-singular and A-1 exists Click on Discuss to view users comments. hmaza said: (10:19pm on Monday 29th April 2013)
singular means det is zero but answer b and c is true
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