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Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

Given some random finite subsets of the natural numbers, perform set operations $\cap,\;\cup$ and complement.

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Simple exercises introducing the fundamental set operations, and NUMBAS syntax for sets.

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Questions on vector arithmetic and vector operations, including dot and cross product, as well as the vector equations of planes and lines.

A variety of trigonometric equations which can be solved using inverse operations.

A variety of trigonometric equations which can be solved using inverse operations.

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple. 

This is a set of questions designed to help you practice adding, subtracting, multiplying and dividing fractions.

All of these can be done without a calculator.

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

(Last three parts of original question removed.)

$A$ a $3 \times 3$ matrix. Using row operations on the augmented matrix $\left(A | I_3\right)$ reduce to $\left(I_3 | A^{-1}\right)$.

Order of Operations

rebelmaths

Calculation of modulus, argument, multiplication by complex conjugate, given two complex numbers.

order of operations

order of operations

order of operations

order of operations

order of operations

order of operations

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

(Last three parts of original question removed.)

A variety of trigonometric equations which can be solved using inverse operations.

Add, subtract, multiply and divide numerical fractions.

Adapted from 'Algebraic fractions: operations involving algebraic fractions' by Ben Brawn.

Questions on vector arithmetic and vector operations, including dot and cross product.

Elementary operations on vectors; sum, modulus, unit vector, scalar multiple.