Match ring algebra: 1. Ring: p. Noncomm 2. Square: q. N by N 3. Order: r. Dimension
A1-p, 2-q, 3-r
B1-p, 2-r, 3-q
C1-q, 2-p, 3-r
D1-r, 2-p, 3-q
Answer & Solution
Correct answer: A. 1-p, 2-q, 3-r
Square matrices of fixed dimension form a noncommutative ring under addition and multiplication since AB does not generally equal BA.
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