Choose the correct options for the following questions.
The multiplicative inverse of matrix $A{A^{-1})$ is
Difficulty: Easy
A:
|A|/AdjA
B:
1/AdjA |A|
C:
1/|A| adj A
D:
-|A|
The adjoint of the matrix $A=\begin{bmatrix}a & b \\c & d \end{bmatrix}$ is
Difficulty: Easy
A:
$\begin{bmatrix}-a & c \\b & -d \end{bmatrix}$
B:
$\begin{bmatrix}a & -c \\-b & d \end{bmatrix}$
C:
$\begin{bmatrix}1/a & -b \\-c & 1/d \end{bmatrix}$
D:
$\begin{bmatrix}-d & c \\b & -a\end{bmatrix}$
The matrix $A=\begin{bmatrix}5 & 3 \\1 & 1 \end{bmatrix}$ is
Difficulty: Easy
A:
Singular
B:
Non-singular
C:
Symmetric
D:
Disjoint
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