最新の問題
The problem asks to compute the matrix product $CD$, where $C = \begin{bmatrix} 9 & 0 & 4 \\ 1 & 13 ...
Matrix MultiplicationLinear Algebra
2025/3/8
We are given the matrix $C = \begin{bmatrix} 7 & 3 \\ 4 & 1 \end{bmatrix}$ and we need to find $C^3$...
Matrix MultiplicationLinear AlgebraMatrix Powers
2025/3/8
The problem asks us to find $A^2$ where $A$ is the matrix $A = \begin{bmatrix} 0 & 3 & 1 \\ 5 & 4 & ...
Matrix MultiplicationLinear AlgebraMatrices
2025/3/8
We are given two matrices, $A = \begin{bmatrix} 1 & 3 & 0 \\ 5 & 4 & 3 \\ 0 & 3 & 2 \end{bmatrix}$ a...
Matrix MultiplicationTransposeLinear Algebra
2025/3/8
We are given two matrices $A$ and $B$, where $A = \begin{bmatrix} 2 & 1 & 0 \\ 7 & 2 & 8 \\ 1 & 0 & ...
MatricesMatrix MultiplicationLinear Algebra
2025/3/8
We are given two matrices, $A$ and $B$, and we need to find the matrix product $BA$. The matrix $A$ ...
Matrix MultiplicationLinear Algebra
2025/3/8
We are given two matrices, $D = \begin{bmatrix} 2 & 6 \\ 7 & 3 \end{bmatrix}$ and $E = \begin{bmatri...
MatricesMatrix Multiplication
2025/3/8
The problem presents two functions, $g(x)$ and $f(x)$. $g(x) = -(x-1)^2 + 1 - \ln(x-1)$ $f(x) = -x +...
FunctionsLimitsDerivativesAsymptotesBijective FunctionsInverse Functions
2025/3/8
$p$ は奇数の素数であり、$N = (p+1)(p+3)(p+5)$ と定義される。 (1) $N$ が48の倍数であることを示す。 (2) $N$ が144の倍数となるような $p$ の値を小さい...
素数倍数整数
2025/3/8
13で割ると3余り、7で割ると4余る自然数のうち、3桁の自然数の最大のものと最小のものを求める問題です。
合同式中国剰余定理整数
2025/3/8