1. Tardigrade
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  3. Mathematics
  4. If A=k B, where A and B are square matrices of order n, then for n=1,2,3,

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Q. If $A=k B$, where $A$ and $B$ are square matrices of order $n$, then for $n=1,2,3$,

Determinants

Solution:

In general, if $A=k B$, where $A$ and $B$ are square matrices of order $n$, then $|A|=k^n|B|$, where $n=1,2,3$.