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Assume A, B and C are matrices of order $m × n,n × 3$ and $3 × q$ respectively. The restrictions on $m,n$ and $q$ so that $AB + BC$ is defined are |
$n$ is arbitrary, $q = 2$ $m = n,q=3$ $q=3,m=3$ $q$ is arbitrary, $n = 2$ |
$m = n,q=3$ |
The correct answer is Option (2) → $m = n,q=3$ $A:\;m\times n,\;\;B:\;n\times 3,\;\;C:\;3\times q$ $AB\text{ is }m\times 3,\;\;BC\text{ is }n\times q$ $AB+BC\text{ defined }\iff m=n\text{ and }3=q$ $m=n\;\text{ and }\;q=3$ |
