tailieunhanh - Lecture Linear algebra: Chapter 4 - TS. Đặng Văn Vinh (tt)

Lecture "Linear algebra - Chapter 4: Vector space" provides learners with the knowledge: Coordinates of a vector, subspaces, the intersection and sum of subspaces. Invite you to refer to the disclosures. | Math Dept Faculty of Applied Science HCM University of Technology Linear Algebra Chapter 4 VECTOR SPACE cont. Instructor Dr. Dang Van Vinh 12 2006 CONTENTS I - Coordinates of a vector II - Subspaces III - The intersection and sum of subspaces I. Coordinates of a vector Definition of coordinates of a vector Let E e1 e2 . en be an ordered basic for a vector space V and let x be an element of a vector space V. The coefficients x1t x2 . xn in the expansion x x1ej x2e2 . xnen are called the coordinates of x with respect to E and from now on x E will denote the column vector V. xi x E x2 X n

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