emanate 发表于 2025-3-21 17:26:53
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Linear equations,olution of linear equations also plays an important role in obtaining approximate solutions of non-linear equations. In this chapter, we make a systematic study of the theoretical aspects of the solution of linear equations and give some computational procedures.金桌活画面 发表于 2025-3-22 04:49:56
Determinants, non-singular matrix. In the Calculus of several variables, the Jacobian used in transforming a multiple integral uses determinant. This use arises from the fact that determinant is the volume of a certain parallelopiped. Determinants are also useful in various other subjects like Physics, Astronomy and Statistics.languid 发表于 2025-3-22 12:02:04
Vector spaces,itude, the new force is . where . is the point on . such that . = −. with the usual convention. In general, . times the force . is . where . is a point on . (extended either way, if necessary) such that . = ., where a may be positive, negative or zero.Infant 发表于 2025-3-22 15:57:25
Rank and inverse,is chapter we define rank and study its basic properties. We also study nullity, existence and properties of inverse and a few other topics like projectors and change of bases. Computational procedures will be taken up in the next chapter.languid 发表于 2025-3-22 18:53:38
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Vector spaces,h . represents the magnitude and . to . the direction of the force. If we now apply another force . at the point ., the resultant (also called the sum) of the two forces is obtained by the .: it is . where . is a parallelogram. Also, if the strength of the force . is doubled without changing the dir防止 发表于 2025-3-23 08:21:53
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