Question

Adjoint of [1 0 2 -1] is

Answer 1

The adjoint of the matrix $\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]$ is $\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]$

How to determine the adjoint?

The matrix is given as:

$\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]$

For a matrix A be represented as:

$A = \left[\begin{array}{cc}a&b\\c&d\end{array}\right]$

The adjoint is:

$Adj = \left[\begin{array}{cc}d&-b\\-c&a\end{array}\right]$

Using the above format, we have:

$Adj = \left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]$

Hence, the adjoint of the matrix $\left[\begin{array}{cc}1&0\\2&-1\end{array}\right]$ is $\left[\begin{array}{cc}-1&0\\-2&1\end{array}\right]$

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