Linear Algebra

                                 Matrices

  • Square Matrix
  • Diagonal Marix
  • Scalar Matrix
  • Identity Matrix
  • Upper Triangular Matrix
  • Lower Triangular Matrix
  • Idempotent Matrix
  • Involuntary Matrix
  • Nilpotent Matrix
  • Singular Matrix
Addition of Matrices
Multiplication of Matrices
Trace of a Matrix
Conjugate of a Matrix

Classification of Matrices
Symmetric Matrix
skew-Symmetric atri
Orthogonal Matrix

Adjoint properties
Inverse of Matrix properties
Rank of Matrix


Linear Dependent and Linear Independent Vectors

System of Homogeneous Linear Equations
System of Non-Homogeneous Linear Equations

Eigen Values & Eigen Vectors

Properties of Eigen Values

Cayley Hamilton theorem

Similar Matrices and Properties

Diagonalisation of Matrix

Calculus

Limits
Continuity
Differentiability
Mean Values Theorems
Rolle's Theorem
Lagranges Theorem

Rules of Differentiation
Integrals
Double Integrals



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Question 1: Reverse Words in a String III

  def reverseWords(s: str) -> str: words = s.split() return ' '.join(word[::-1] for word in words)