Matrices and Determinants in JEE Main: One Shot Class 12 Quiz

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Questions and Answers

What is the primary focus of the 'Matrices and determinants' class 12 JEE mains in one shot?

  • Probability theory
  • Integration and differentiation
  • Trigonometry functions
  • Solving systems of linear equations (correct)

Which mathematical concept is specifically covered in the 'Matrices and determinants' class 12 JEE mains in one shot?

  • Quadratic equations
  • Sine and cosine functions
  • Eigenvalues and eigenvectors (correct)
  • Permutations and combinations

How are matrices and determinants relevant to JEE mains?

  • They are essential in understanding probability distributions
  • They are applied in solving simultaneous equations and transformations (correct)
  • They are used to solve complex calculus problems
  • They have no specific relevance to JEE mains

In what context are determinants commonly used in mathematics?

<p>Finding the area of a triangle (C)</p> Signup and view all the answers

Flashcards

Matrices Primary Use

Matrices and determinants are used to solve sets of linear equations.

Eigenvalues/Eigenvectors

Eigenvalues and eigenvectors are values that represent scaling factors of a linear transformation.

Matrices Applications

Matrices and determinants are used in simultaneous equations and transformations.

Determinant Uses.

Determinants can be used to calculate the surface area of a triangle when the coordinates of each vertex are known.

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Study Notes

Matrices and Determinants in JEE Mains

  • The primary focus of the 'Matrices and determinants' class 12 JEE mains is to test a student's understanding of matrix operations, properties, and applications, as well as determinant calculations and their applications in solving systems of linear equations.

Mathematical Concept

  • The mathematical concept specifically covered in the 'Matrices and determinants' class 12 JEE mains is Linear Algebra, which includes the study of matrices, determinants, and their applications.

Relevance to JEE Mains

  • Matrices and determinants are crucial in JEE mains as they are used to solve systems of linear equations, find inverse of matrices, and calculate determinants, which are essential in physics, engineering, and other fields.

Context of Determinants

  • Determinants are commonly used in mathematics to find the solvability of a system of linear equations, calculate the inverse of a matrix, and find the area of a triangle or a parallelogram in coordinate geometry.

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