Question

Which formula expresses distributive over matrix addition?

पर्याय

• \[k(A+B)=kA+B\]

• \[k(A+B)=kA+kB\]

• \[k(A+B)=A+kB\]

• \[k(A+B)=(kA)(kB)\]

Answer 1

The scalar \[k\] multiplies every entry in both \[A\] and \[B\]. Thus, scalar multiplication distributes over matrix addition as \[k(A+B)=kA+kB\].