Exercise 9

Recall that the transpose of a matrix $M$ is another matrix, whose $i,j$ entry is the $j,i$ entry of $M$. Verify these identities.

• ${{(G+H)}^{\mathsf{T}}}={{G}^{\mathsf{T}}}+{{H}^{\mathsf{T}}}$

• ${{(r\cdot H)}^{\mathsf{T}}}=r\cdot{{H}^{\mathsf{T}}}$