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Questions around quadratic equations over finite fields of the form $\mathbb F_p$, $p$ a prime number.

Direct calculation of low positive and negative powers of complex numbers. Calculations involving a complex conjugate. Powers of $i$. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11788/arithmetics-of-complex-numbers-v/ by Newcastle University Mathematics and Statistics

Tramslated to German

Elementary examples of multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11784/arithmetics-of-complex-numbers-i/ by Newcastle University Mathematics ans Statistics

Translated to German.

Composite multiplication and division of complex numbers. Two parts.

Original: https://numbas.mathcentre.ac.uk/question/11787/arithmetics-of-complex-numbers-iv/ by Newcastle University Mathematics and Statistics

Translated to German

Inverse and division of complex numbers.  Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11786/arithmetics-of-complex-numbers-iii/ by Newcastle University Mathematics and Statistics

Translated to German.

Multiplication and addition of complex numbers. Four parts.

Original: https://numbas.mathcentre.ac.uk/question/11785/arithmetics-of-complex-numbers-ii/ by Newcastle University Mathematics and Statistics

Translated to German.

Guided induction proof of a divisibility statement (with moderate randomization).

Students will solve for x using algebraic maipulation.

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Some simple multiple choice questions on the field of complex numbers.

Straightforward solving linear equations question

Assessment of NCDCS Unit 1 material.

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Asks to determine whether or not 6 statements are propositions or not i.e. we can determine a truth value or not.

Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.

Multiplication of $2 \times 2$ matrices.

Adding and subtracting two 3x3 matrices.

Addition, subtraction and multiplication of 2 x 2 matrices and multiplication by a scalar.

(Last three parts of original question removed.)

Quiz to assess matrix addition, subtraction, multiplication and multiplication by scalar, determinants and inverses, solving a system of simultaneous equations.

Find the determinant and inverse of three $2 \times 2$ invertible matrices.