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Question

If k is scalar (k0), I is an identity matrix and A is a square matrix . Then which among the following will always be a scalar matrix.


A

kA

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B

kI

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C

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D

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Solution

The correct options are
B

kI


D


If k is a scalar, then 1k is also a scalar since k≠0. You might remember that a scalar can be any real number. And it cannot be an indeterminate value or infinity. You get a scalar matrix when a scalar is multiplied with an identity matrix which is true for the options (b) and (d).


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