Linear Algebra Axiom Word Scramble
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Axiom Number | Axiom |
Axiom 01 | If u and v are objects in V, then u + v is in V |
Axiom 02 | u + v = v + u |
Axiom 03 | u + (v + w) = (u + v) + w |
Axiom 04 | There is an object 0 in V, called a "zero vector" for V, such that 0 + u = u + 0 = u for all u in V |
Axiom 05 | For each u in V, there is an object -u in V, called a "negative" of u, such that u + (-u) = (-u) + u = 0 |
Axiom 06 | If k is any scalar and u is any object in V, then ku is in V |
Axiom 07 | k(u + v) = ku + kv |
Axiom 08 | (k + m)u = ku + mu |
Axiom 09 | k(mu) = (km)u |
Axiom 10 | 1u = u |
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Ultric
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