1. The problem shows several matrix and algebraic expressions to simplify or combine. 2. For each matrix or expression, interpret and simplify step-by-step. 3. Top-left 2x2 matrix seems incomplete but assuming entries: $$\begin{bmatrix}-2x & -4 \\ -3 & -4 -36\end{bmatrix} = \begin{bmatrix}-2x & -4 \\ -3 & -40\end{bmatrix}$$ 4. 3x1 matrix: $$\begin{bmatrix}24 \\ v^2 \\ u\end{bmatrix}$$ no simplification provided. 5. 1x7 matrix row combined: $$[-x -1, -2x, -54, -7, -2, -3x]$$ already simplified. 6. Adding two 3x3 matrices: $$\begin{bmatrix}-6v+t & -v & 6s \\ \end{bmatrix} + \begin{bmatrix}6v & -4i & -3v+2 \\ \end{bmatrix} = \begin{bmatrix}(-6v + t + 6v) & (-v - 4i) & (6s - 3v + 2)\end{bmatrix} = \begin{bmatrix}t & -v - 4i & 6s - 3v + 2\end{bmatrix}$$ 7. Adding two 4x1 matrices: $$\begin{bmatrix}2 - 6 \\ -6 \\ -1 - 6 \cdot 2 \\ 34\end{bmatrix} + \begin{bmatrix}-37 \\ 32 \\ 5 + 2 \\ 42\end{bmatrix} = \begin{bmatrix} -4 - 37 \\ -6 + 32 \\ (-1 - 12) + 7 \\ 34 + 42 \end{bmatrix} = \begin{bmatrix} -41 \\ 26 \\ -6 \\ 76 \end{bmatrix}$$ 8. Matrix subtraction: $$[5, 6, 1, 2, -6] - [1, 6, -6, 6]$$ has size mismatch; assume last vector is 4 elements and ignore or clarify. 9. Expression: $$-5(0 - 2\sum + 2 \cdot 0 \cdot 7)$$ simplifies as $$-5(0 - 2\sum + 0) = -5(-2\sum) = 10\sum$$ assuming \(\sum\) is sum notation to be defined. 10. Subtract three 2x2 matrices: $$\begin{bmatrix}5 & 3 \\ 5 & 1\end{bmatrix} - \begin{bmatrix}-6 & 0 \\ 1 & -4\end{bmatrix} - \begin{bmatrix}5 & 40 \\ -2 & -6\end{bmatrix}$$ Calculate stepwise: First subtraction: $$\begin{bmatrix}5 - (-6) & 3 - 0 \\ 5 - 1 & 1 - (-4)\end{bmatrix} = \begin{bmatrix}11 & 3 \\ 4 & 5\end{bmatrix}$$ Then subtract last matrix: $$\begin{bmatrix}11 - 5 & 3 - 40 \\ 4 - (-2) & 5 - (-6)\end{bmatrix} = \begin{bmatrix}6 & -37 \\ 6 & 11\end{bmatrix}$$ Final simplified matrix is: $$\begin{bmatrix}6 & -37 \\ 6 & 11\end{bmatrix}$$ Final answers: - Added 3x3 matrices: $$\begin{bmatrix}t & -v - 4i & 6s - 3v + 2\end{bmatrix}$$ - Added 4x1 matrices: $$\begin{bmatrix}-41 \\ 26 \\ -6 \\ 76\end{bmatrix}$$ - Subtracted 2x2 matrices sequence result: $$\begin{bmatrix}6 & -37 \\ 6 & 11\end{bmatrix}$$ - Scalar expression simplified to $$10\sum$$ Note: Some matrices had unclear sizes or formatting issues.