A vector has size and direction
Subtract starting coordinates from ending coordinates to find a displacement vector.
CSEC Math LabLearn · practise · master
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15 min
Section 9Vectors and Matrices
Represent movement and transformations
Perform vector and matrix operations and apply them to geometry and real-world problems.
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Learn the idea
Three things to notice
Order matters in matrices
Matrix multiplication is generally not commutative: AB does not usually equal BA.
The determinant tests invertibility
For a 2 × 2 matrix, det = ad - bc. A zero determinant means the matrix has no multiplicative inverse.
Do not memorise the words alone. The worked example shows how to choose and apply the idea.
Syllabus coverage
Vector notationMagnitude and directionVector geometryMatrix operationsDeterminants and inversesTransformation matrices