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Null space and column space

We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A). We then proceed to think about the linear combinations of the columns of a matrix (column space). Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.

Topics: Algebra, General Mathematics, Linear Algebra
Cost: Free

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Null space and column space's Full Profile

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Description

We will define matrix-vector multiplication and think about the set of vectors that satisfy Ax=0 for a given matrix A (this is the null space of A). We then proceed to think about the linear combinations of the columns of a matrix (column space). Both of these ideas help us think the possible solutions to the Matrix-vector equation Ax=b.

Details

  • Days of the Week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday
  • Level of Difficulty: Beginner
  • Size: One-on-One
  • Instructor: Sal Khan
  • Cost: Free
  • Institution: Khan Academy
  • Topics: Algebra, General Mathematics, Linear Algebra

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About Khan Academy: Khan Academy is an organization on a mission. Khan Academy is a not-for-profit with the goal of changing education for the better by providing a free world-class education for anyone anywhere.

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