medium Pure Math
A release-checked medium problem for training Linear Algebra.
Given $A = \begin{bmatrix} 3 & 1\\ 4 & 3 \end{bmatrix}$. Find $A^{10}v$, where $v = \begin{bmatrix} 3 \\ 2\end{bmatrix}$. The answer is in the form $$ \begin{bmatrix} a \cdot b^{p} + c \\ d \cdot b^{p} - g \end{bmatrix} $$ For integers $a,b,c,d,p, g$. Find $bp + a + c + d + g$.
This Pure Math problem is tagged Linear Algebra. State the random variables and conditioning information explicitly, then check the result against boundary cases before opening hints or a solution.
Pure Math · IMC, WorldQuant
Pure Math
Pure Math · Akuna, WorldQuant
Pure Math
Pure Math
Pure Math