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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.
Read the given statements and conclusions carefully. Decide which of the given conclusions is/are true based on the given statement.
Statement: ...
A series is given with one term wrong. Select that wrong term from the given alternatives.
25, 27, 36, 51, 75, 110
Select the correct combination of mathematical signs to replace the * signs and to balance the given equation.
831 * 3 * 13 * 45 * 245 * 1
The following contains pairs of words which are related to each other in a certain way. Three of the following four word pairs are alike because they ha...
Three of the following words are alike in a certain manner and one is different. Select the odd word out.
In a certain code language, ‘EARS’ is coded as ‘4268’ and ‘NICE’ is coded as ‘9723’.
What is the code for ‘E’ in the given co...
Select the option that is related to the third letter-cluster in the same way as the second letter-
cluster is related to the first letter-cluste...
Eight classmates P, Q, R, S, T, U, V and W are sitting around a circular table facing the centre, but not necessarily in the same order. W sits exactly ...
In a certain language, the word CLOCK is written as 4 – 13 – 17 – 4 – 12. How will you write PHONE in the same language?
Select the figure that will come next in the following figure series.