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Let A=[aij ] be an mxn matrix and k be a scalar then kA is equal to __________

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+1 vote
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in Discrete Mathematics by (558k points)
Let A=[aij ] be an mxn matrix and k be a scalar then kA is equal to __________

(a) [kaij ]mxn

(b) [aij/k ]mxn

(c) [k^2 aij]mxn

(d) None of the mentioned

This question was addressed to me in an interview for internship.

I would like to ask this question from Operations on Matrices in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

+1 vote
by (1.4m points)
Correct option is (a) [kaij ]mxn

Easy explanation: The scalar is multiplied with each of the element of matrix A.

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