The image you uploaded contains several questions related to matrix operations. Here's a summary of the questions:

Question 1:

Given the matrices: $A = \begin{pmatrix} 1 & 0.5 \\ -0.5 & 0.1 \end{pmatrix} \quad \text{and} \quad B = \begin{pmatrix} 1 & 2 \\ 2 & 3 \end{pmatrix}$ Determine: a) $B^{-1}$
b) $A \cdot B$
c) $B^{-1} \cdot A$

Question 2:

Verify that the given matrices are inverses of each other: $\begin{pmatrix} 7 & 3 \\ 2 & 1 \end{pmatrix} \quad \text{and} \quad \begin{pmatrix} 1 & -3 \\ -2 & -7 \end{pmatrix}$

Question 3:

Find the inverse of the matrix $A$: $A = \begin{pmatrix} 1 & -1 & 0 \\ 1 & 0 & -1 \\ 2 & 3 & -4 \end{pmatrix}$

Question 4:

Given matrices $L$ and $F$: $L = \begin{pmatrix} -1 & 5 \\ -5 & -6 \end{pmatrix} \quad F = \begin{pmatrix} 0 & 6 \\ -3 & -9 \end{pmatrix}$ Work out the matrix $FE$.

Question 5:

Given the matrices: $A = \begin{pmatrix} 6 & -2 \\ 1 & -1 \end{pmatrix} \quad B = \begin{pmatrix} 4 & 3 \end{pmatrix}$ a) Evaluate $A^2$
b) Evaluate $B^2$

Question 6:

It seems like the image cuts off, but it could be related to a matrix operation.

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