Question
Which method is used to compute the inverse of a matrix
in numerical computing efficiently?Solution
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.
Select the option in which the words share the same relationship as that shared by the given pair of words.
Wheel : Spoke
If (A @ B) means A is son of B, (A & B) means A is mother of B, (A # B) means A is father of B, (A $ B) means A is sister of B. If H @ I & J # K $ L @ M...
Select the pair of words from the given options that shares a similar relationship as:
Pressure : Barometer.
Select the option in which the numbers shares the same relationship as that shared by the given pair of numbers.
(73, 78, 93)
Select the option in which the words share the same relationship as that shared by the given pair of words.
Japan : Tokyo
'A + B' means 'A is the father of B'. 'A = B' means 'A is the son of B'. 'A Ă· B' means 'A is the daughter of B'. 'A X B' means 'A is married to B'. In ...
Select the option in which the words share the same relationship as that shared by the given pair of words.
Horses : Neigh
Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.
76 : 171
Select the option in which the words share the same relationship as that shared by the given pair of words.
Lotus : Flower
Deepak introduces Raju saying, "He is the husband of the granddaughter of the father of my father." How is Raju related to Deepak?
