K.S. Narain , ICTP

lecture 2

The expansion of vectors and Matrix equation

• More vector notation. The notion of linear dependent ,what kind of
• transformation we needed for vectors and going from one basis to the other basis.
• Giving rule for the scalar product of two vectors.
• Explaining dual vector space, linear functions or a vector space.
• The concept of inverse elements
• Defining linear vectors and function and the value of the function
• in terms of basis .
• Natural map between vectors is given.