Provide solution to the following questions: 1. Evaluate the following: 2. If , then for whatvalue of is A an identity matrix? 3. The

Provide solution to the following questions:

1. Evaluate the following:

2. If, then for whatvalue of α is A an identity matrix?

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

4. Solve the following differentialequation:(x² − y²) dx + 2 xy dy = 0.

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

x − y +2z =7
3x +4y −5z =−5
2x − y + 3z = 12

fxsin 3x dx