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# Unit: Module 1: Complex numbers and transformations

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### Learn

### Practice

- Powers of the imaginary unitGet 3 of 4 questions to level up!
- Plot numbers on the complex planeGet 3 of 4 questions to level up!
- Add & subtract complex numbersGet 3 of 4 questions to level up!
- Graphically add & subtract complex numbers Get 3 of 4 questions to level up!
- Multiply complex numbers (basic)Get 3 of 4 questions to level up!
- Multiply complex numbersGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 480 Mastery points

### Learn

### Practice

- Complex number conjugatesGet 3 of 4 questions to level up!
- Divide complex numbersGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 160 Mastery points

### Learn

### Practice

- Graphically multiply complex numbersGet 3 of 4 questions to level up!
- Distance of complex numbersGet 3 of 4 questions to level up!
- Midpoint of complex numbersGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Modulus (absolute value) of complex numbersGet 3 of 4 questions to level up!
- Angle of complex numbersGet 3 of 4 questions to level up!
- Complex numbers from absolute value & angleGet 3 of 4 questions to level up!
- Polar & rectangular forms of complex numbersGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

Level up on the above skills and collect up to 160 Mastery points

### Learn

### Practice

- Matrix dimensionsGet 3 of 4 questions to level up!
- Matrix elementsGet 3 of 4 questions to level up!
- Multiply matricesGet 3 of 4 questions to level up!
- Use matrices to transform 3D and 4D vectorsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

### Learn

### Practice

- Transform polygons using matricesGet 3 of 4 questions to level up!
- Understand matrices as transformations of the planeGet 3 of 4 questions to level up!
- Use matrices to transform the planeGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Add & subtract matricesGet 3 of 4 questions to level up!
- Multiply matrices by scalarsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 160 Mastery points

### Learn

### Learn

### Practice

- Determinant of a 2x2 matrixGet 3 of 4 questions to level up!
- Determine inverse matricesGet 3 of 4 questions to level up!
- Determine invertible matricesGet 3 of 4 questions to level up!
- Find the inverse of a 2x2 matrixGet 3 of 4 questions to level up!

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Level up on all the skills in this unit and collect up to 3000 Mastery points!