Question 1
If A is a skew symmetric matrix then $A^t$ is
Step-by-Step Solution
Detailed Explanation:
By definition of a skew-symmetric matrix, A^$t = -A$.
Transpose of a skew-symmetric matrix equals its negative.
If A is a skew symmetric matrix then $A^t$ is
Detailed Explanation:
By definition of a skew-symmetric matrix, A^$t = -A$.
Transpose of a skew-symmetric matrix equals its negative.
Let A and B be any two arbitrary events, then, which one of the following is TRUE?
Detailed Explanation:
Boole's inequality states that for any two arbitrary events A and B, P(A ∪ B) $\le P(A) + P(B)$.
Options A, B, C hold only under specific conditions (independence, disjoint events, etc.).
Using Newton-Raphson method, a root correct to 3 decimal places of $x^3 - 3$ x - 5 = 0
Detailed Explanation:
Let $f(x) = x^3 - 3x - 5$. Derivative f'(x) = 3x^2 - 3.
Using initial approximation x0 = 2.5:
x1 = 2.5 - (15.625 - 7.5 - 5) / (18.75 - 3) = 2.5 - 3.125 / 15.75 = 2.3015.
Second iteration gives x2 $\approx 2.279$, which satisfies f(2.279) $\approx 0$.
What does a data dictionary identify?
Detailed Explanation:
A data dictionary is a centralized repository of metadata.
It identifies field names, formats, data types, constraints, and relationships.
Which of the following concurrency control protocol ensures both conflict serializability and free from deadlock?
Detailed Explanation:
Timestamp ordering protocol ensures conflict serializability and avoids deadlocks since transactions execute in timestamp order.
2PL ensures conflict serializability but can suffer from deadlocks.