ACMGM014
recognise different types of matrices (row, column, square, zero, identity) and determine their size
ACMGM014 | Content Descriptions | Unit 1 | General Mathematics | Mathematics | Senior secondary curriculum
ACMMM044
understand the notion of a combination as an unordered set of \(r\) objects taken from a set of \(n\) distinct objects
ACMMM044 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMSM036
When a secant (meeting the circle at \(A\) and \(B\)) and a tangent (meeting the circle at \(T\)) are drawn to a circle from an external point \(M\), the square of the length of the tangent equals the product of the lengths to the circle on the secant. …
ACMSM036 | Content Descriptions | Unit 1 | Specialist Mathematics | Mathematics | Senior secondary curriculum
ACSPH077
The speed of light is finite and many orders of magnitude greater than the speed of mechanical waves (for example, sound and water waves); its intensity decreases in an inverse square relationship with distance from a point source
ACSPH077 | Content Descriptions | Unit 2 | Physics | Science | Senior secondary curriculum
ACMMM050
use set language and notation for events, including \(\overline A\) (or \(A'\)) for the complement of an event \(A,\) \(A?B\) for the intersection of events \(A\) and \(B\), and \(A?B\) for the union, and recognise mutually exclusive events
ACMMM050 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum
ACMMM045
use the notation \(\begin{pmatrix}n\\r\end{pmatrix}\) and the formula \(\begin{pmatrix}n\\r\end{pmatrix}=\frac{n!}{r!\left(n-r\right)!}\) for the number of combinations of \(r\) objects taken from a set of \(n\) distinct objects
ACMMM045 | Content Descriptions | Unit 1 | Mathematical Methods | Mathematics | Senior secondary curriculum