LU Decomposition breaks down a matrix into two components—Lower and Upper triangular matrices—making it easier and computationally efficient to solve systems of equations, including finding the inverse of a matrix. This method is widely used in numerical computing due to its stability and speed compared to direct methods like Gaussian elimination. Why Other Options are Wrong: a) Gaussian Elimination is more direct but less efficient than LU Decomposition. b) Newton-Raphson is used for finding roots of equations, not for matrix inversion. d) Monte Carlo is used for probabilistic simulations, not matrix computations. e) Gram-Schmidt is used for orthogonalization, not for matrix inversion.
Statements: B ≤ I; E = D; H > F; C ≤ H; I = D; A ≤ B; H < E
Conclusions:
(i) I > F
(ii) B ≤ H
(iii) A ≤ E
(iv) E > F
Statements: F > V > W ≥ L > G; F ≤ O = M < I
Conclusions: I. M > L II. V < I
Statement: P < Q; R ≥ S; R ≥ O; S > Q ≥ T
Conclusion:
I. Q > O
II. O > T
Statement: Q > R; O < K ≤ N; O ≥ S > R
Conclusion: I. O ≥ Q II. R < N.
Statements: F % W, W © R, R @ M, M $ D
Conclusions:
I.D @ R II.M $...
In the following questions assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and th...
Statements: N ≥ M ≥ O; U < N; V < O ≤ R
Conclusions:
I. V < N
II. R ≥ N
III. O < U
Statements: M < N = G > P, P ≥ Z ≥ Y
Conclusions:
I. N > Y
II.G > M
Statements: A > C = B ≥ D ≥ F, B = G ≤ H < E
Conclusions:
I. A > G
II. H ≥ F
III. E > C
Statements: P = J = W; W ≥ Y < Q; Q < Z = L
Conclusions:
I. W ≥ Z
II. W < Z
