What value of a is a an identity matrix - solve system of

Question

Provide solution to the following questions:

1. Evaluate the following: ∫x sin?3x dx

2. If A = then for what value of α is A an identity matrix?

3. The line y = mx + 1 is a tangent to the curve y² = 4x. Find the value of m.

4. Solve the following differential equation: (x² - y²) dx + 2xy dy = 0.

5. Solve system of linear equations, using matrix method.

x - y + 2z = 7

3x + 4y - 5z = -5

2x - y + 3z = 12