Question: Consider $A$, $B$, $C$ and $D$ to be $n \times n$ matrices. Write down the following matrix multiplications using index notation and Einstein summation rules: $A=B(C+D)$ $A=BCD$ According to my notes: $$C=AB \qquad \text{means}\qquad C^i{\,_j}=A^i{\,_k}B^k{\,_j}\tag{1}$$ $$D=BA \qq...

I am reading Agarwal and Lang's, Foundations of Analog and Digital Circuits for self study, and I do not understand one of their illustrated examples. Specifically, Example 2.14. They present this circuit and claim $v = 0.5V$. If I were to use a different method, namely the fact that $v = iR$, wh...

I have thought intuitively that when a force is applied on a material, the material responds by stress which is the internal force. And then, because of this internal force, the material undergoes some deformation, which is the strain. So in this way, the stress induces the strain. Later, I have ...