scalar matrix

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Noun1.scalar matrix - a diagonal matrix in which all of the diagonal elements are equal
diagonal matrix - a square matrix with all elements not on the main diagonal equal to zero
identity matrix, unit matrix - a scalar matrix in which all of the diagonal elements are unity
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Then for all scalar matrix a = [([a.sub.i]).sub.i[member of]M(m,n)],
Holder's inequality: some recent and unexpected applications
Assume that a + [alpha]c is not a scalar matrix. By Lemma 5, we can assume that a + [alpha]c and q have all nonzero entries, say a + [alpha]c = [[summation].sub.kl][t.sub.kl][e.sub.kl] and q = [[summation].sub.kl][q.sub.kl][e.sub.kl], for 0 [not equal to] [t.sub.kl], 0 [not equal to] [q.sub.kl] [member of] K.
Two-sided annihilator condition with generalized derivations on multilinear polynomials
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