If the matrix (\begin{bmatrix}a\&b;\\\ c\&d;\end{bmatrix}) i... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If the matrix $\begin{bmatrix}a&b;\\\ c&d;\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\\ 0&1\end{bmatrix}$ , then

A

$a = 0, b = c$

B

$b = 0, c = d$

C

$c = 0, d = a$

D

$d = 0, a = b$

Answer

$c = 0, d = a$

Explanation

Solution

Since, matrix $\begin{bmatrix}a&b;\\\ c&d;\end{bmatrix}$ is commutative with the matrix $\begin{bmatrix}1&1\\\ 0&1\end{bmatrix}$ ,