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Given A=[{:(2,4,0),(3,9,6):}] "and" B=[{...

Given `A=[{:(2,4,0),(3,9,6):}] "and" B=[{:(1,4),(2,8),(1,3):}]`, is (AB)=B'A'?

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We have, `A=[{:(2,4,0),(3,9,6):}]_(2xx3)"and" B=[{:(1,4),(2,8),(1,3):}]_(3xx2)`
`therefore AB=[{:(2+8+0,8 +32+0),(3+18+6, 12+72+18):}]=[{:(10,40),(27,102):}]`
and `(AB)=[{:(2,3),( 4,9),(0,6):}]_(3xx2)`
`therefore B'A'=[{:(2+8+0,3+18+6),(8+32+ 0,12+72+18):}]=[{:(10,27),(40,102):}]`
Thus, we see that, `(AB) '=B'A'` [using Eqs. i and ii]
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NCERT EXEMPLAR-MATRICES-Matrices
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