Matrices Definition, Properties, Types, Formulas, Solved Examples
A rectangular array of m × n numbers (real or complex) in the form of m horizontal lines (called rows) …
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Matrices Miscellaneous Exercise NCERT Solutions Class 12 Math Chapter 3 free PDF Download
Chapter 3 of the Class 12 NCERT Mathematics textbook, titled “Matrices,” covers fundamental concepts related to matrices, including operations such …
Logarithmic Differentiation – Formula, Solutions & Solved Examples Problems, Class 12 Math Notes Study Material Download Free PDF
Logarithmic differentiation is a method to find the derivatives of some complicated functions, using logarithms. There are cases in which …
Relations & Functions Exercise 1.3 NCERT Solutions Class 12 Math Chapter 1 free PDF Download
Exercise 1.3 delves into the advanced concepts of function composition and invertible functions, building upon the foundational knowledge of relations …
Integral of Particular Functions (With Proof and Example) | Class 12 Math Notes Study Material Download Free PDF
Integral is the method to sum the functions on a large scale. Hence, here we have discussed integrals of some …
Integration by Substitution Formula | Sample Problems | Class 12 Math Notes Study Material Download Free PDF
The process of finding the anti-derivative of a function is the inverse process of differentiation i.e. finding integral is the …
Integration by Parts | Formula, Derivation and Examples, Class 12 Math Notes Study Material Download Free PDF
Integration by Parts or Partial Integration, is a technique used in calculus to evaluate the integral of a product of two functions. The formula …
Integration by Partial Fractions – Method, Examples & Practice Problems, Class 12 Math Notes Study Material Download Free PDF
Integration by Partial Fractions is one of the methods of integration, which is used to find the integral of the …
Integration by Substitution Method – Formula, Examples & Questions, Class 12 Math Notes Study Material Download Free PDF
Integration by substitution or u-substitution is a highly used method of finding the integration of a complex function by reducing it to a …
Integrals | Definition, Meaning, Formula, Application and Examples, Class 12 Math Notes Study Material Download Free PDF
An integral in mathematics is a continuous analog of a sum that is used to determine areas, volumes, and their generalizations. …
