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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 …