BASES AND DIMENSIONS Vector

BASES AND DIMENSIONS

Knowledge Academy July 03, 2022

BASES AND DIMENSIONS (a) Bases. A non empty subset of S a vector space V(F) is said t…

LINEARLY DEPENDENT AND INDEPENDENT SETS Vector

LINEARLY DEPENDENT AND INDEPENDENT SETS

Knowledge Academy June 30, 2022

LINEARLY DEPENDENT AND INDEPENDENT SETS A finite se S = { α₁, α₂, α₃, .......,αₙ } of…

LINEAR COMBINATION OF VECTORS Vector

LINEAR COMBINATION OF VECTORS

Knowledge Academy June 29, 2022

LINEAR COMBINATION OF VECTORS Let V(F) be a vector space. A vector x ∈ V is said to be…

Vector Subspace Vector subspace

Vector Subspace

Knowledge Academy June 26, 2022

Vector Subspace A non empty subset W of a vector space V over a field F is said to be…

Vector spaces properties Vector spaces

Vector spaces properties

Knowledge Academy June 22, 2022

PROPERTIES LET V(F) be a vector space, then (i). a0 = 0, where a ∈ F, 0 on both side…

Vector space questions Vector

Vector space questions

Knowledge Academy June 22, 2022

Question: If X is the set of all real valued continuous (differentiable or integrable)…

Postulates of vector space Vector spaces

Postulates of vector space

Knowledge Academy June 20, 2022

Question : If P(x) denotes the set of all polynomials in one indeterminate x over a …

Vector spaces Vector spaces

Vector spaces

Knowledge Academy June 19, 2022

Vector Spaces  INTRODUCTION   We are familiar with two terms as the sum of vectors and…

Whole numbers Whole numbers

Whole numbers

Knowledge Academy May 09, 2022

Whole numbers:مکمل اعداد In our daily routine we meet such situations that we count o…

Cube and cube roots properties of cubes of numbers

Cube and cube roots

Knowledge Academy April 20, 2021

Cube and cube roots Learning Outcomes After reading the post readers will be able to,…