
BASES AND DIMENSIONS
BASES AND DIMENSIONS (a) Bases. A non empty subset of S a vector space V(F) is said t…
BASES AND DIMENSIONS (a) Bases. A non empty subset of S a vector space V(F) is said t…
LINEARLY DEPENDENT AND INDEPENDENT SETS A finite se S = { α₁, α₂, α₃, .......,αₙ } of…
LINEAR COMBINATION OF VECTORS Let V(F) be a vector space. A vector x ∈ V is said to be…
Vector Subspace A non empty subset W of a vector space V over a field F is said to be…
PROPERTIES LET V(F) be a vector space, then (i). a0 = 0, where a ∈ F, 0 on both side…
Question: If X is the set of all real valued continuous (differentiable or integrable)…
Question : If P(x) denotes the set of all polynomials in one indeterminate x over a …
BASES AND DIMENSIONS (a) Bases. A non empty subset of S a vector space V(F) is said t…