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If the sum of elements in each row of an n×n matrix Z is zero, then the matrix is ______________(a) inverse(b) non-singular(c) additive inverse(d) singularThis question was posed to me at a job interview.My doubt is from Groups topic in division Groups of Discrete Mathematics

Answer»

The correct answer is (d) singular

Easy EXPLANATION: By the DEFINITION, an n×n matrix A is said to be singular if there exists a nonzero vector v such that Av=0. OTHERWISE, it is known that A is a nonsingular matrix.



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