R, R
+, R
n real numbers, positive reals, n-tuples of reals
N, C natural numbers {0, 1, 2, . . .}, complex numbers
(a .. b), [a .. b] open interval, closed interval
h. . .i sequence (a list in which order matters)
hi,j row i and column j entry of matrix H
V, W, U vector spaces
~v, ~0, ~0V vector, zero vector, zero vector of a space V
Pn, Mn×m space of degree n polynomials, n×m matrices
[S] span of a set
hB, Di, β, ~ ~δ basis, basis vectors
En = h~e1, . . . , ~eni standard basis for R
n
V =∼ W isomorphic spaces
M ⊕ N direct sum of subspaces
h, g homomorphisms (linear maps)
t, s transformations (linear maps from a space to itself)
RepB(~v), RepB,D(h) representation of a vector, a map
Zn×m or Z, In×n or I zero matrix, identity matrix
|T| determinant of the matrix
R(h), N (h) range space, null space of the map
R∞(h), N∞(h) generalized range space and null space
Greek letters with pronounciation
character name character name
α alpha AL-fuh ν nu NEW
β beta BAY-tuh ξ, Ξ xi KSIGH
γ, Γ gamma GAM-muh o omicron OM-uh-CRON
δ, ∆ delta DEL-tuh π, Π pi PIE
epsilon EP-suh-lon ρ rho ROW
ζ zeta ZAY-tuh σ, Σ sigma SIG-muh
η eta AY-tuh τ tau TOW (as in cow)
θ, Θ theta THAY-tuh υ, Υ upsilon OOP-suh-LON
ι iota eye-OH-tuh φ, Φ phi FEE, or FI (as in hi)
κ kappa KAP-uh χ chi KI (as in hi)
λ, Λ lambda LAM-duh ψ, Ψ psi SIGH, or PSIGH
µ mu MEW ω, Ω omega oh-MAY-guh
Capitals shown are the ones that differ from Roman capitals
