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__________ matrices do not have multiplicative inverses.(a) non-singular(b) singular(c) triangular(d) inverseI 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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