The document contains six mathematical questions focused on matrix operations. Here’s a brief overview:

1. Matrix addition: Given matrices $A + B = C$, find scalar constants $a, b, c, d$.
2. Inverse matrix: Find the inverse of a $2 \times 2$ matrix in terms of $k$.
3. Matrix multiplication: Find the product $AB$ in terms of $x$ and determine $x$ such that $AB = C$.
4. Matrix equation: Show that $13A - 2I = 15I$ and use this to find $A^{-1}$.
5. Linear equations: Solve the system of three linear equations with three variables $x, y, z$.
6. Matrix multiplication: Find the expression for $AB$ in terms of $x$ using $3 \times 3$ matrices.

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Here are five questions related to matrix operations:

1. What is the method to find the inverse of a $2 \times 2$ matrix?
2. How do you check if two matrices are equal?
3. What are the properties of matrix multiplication?
4. How can a matrix equation like $AB = C$ be solved?
5. What are the conditions for a matrix to be invertible?

Tip: Remember that matrix multiplication is not commutative, i.e., $AB \neq BA$ in general!