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__________ matrices do not have multiplicative inverses.

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__________ matrices do not have multiplicative inverses.

(a) non-singular

(b) singular

(c) triangular

(d) inverse

I have been asked this question in class test.

The query is from Groups in chapter Groups of Discrete Mathematics

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The correct option is (b) singular

For explanation I would say: The rational numbers are an extension of the integer numbers in which each non-zero number has an inverse under multiplication. A 3 × 3 matrix may or may not have an inverse under matrix multiplication. The matrices which do not have multiplicative inverses are termed as singular matrices.

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