Problem 1257 (difficulty: 5/10)
Let \(\displaystyle B\) be a real \(\displaystyle q\times r\) matrix. What is the derivative of
\(\displaystyle f(x_1,\ldots,x_{q+r}) = (x_1,\ldots,x_q)M(x_{q+1},\ldots,x_{q+r})^T?\)
Answer:
The block matrix \(\displaystyle \Big((x_{q+1},\ldots,x_{q+r})M^T, (x_1,\ldots,xq)M\Big)\).
Supported by the Higher Education Restructuring Fund allocated to ELTE by the Hungarian Government |