BO CDA $102$: Mathematics$-$II Assignment $1$

on $5$

Let $V=R^5$ and $W=R^7.$ Let $T$:$VW$ be a linear map. If $N(T)$ denotes the null space of $T$ and $R(T)$ denotes its range, then

dim$ll(T)+$dimRagne$(T)=?$