Matrices
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Matrix types and order
1State the order of a matrix and locate its elementsOpen, set of 8START2Identify row, column, square, symmetric and zero matricesOpen, set of 8START3Read information from a labelled data matrixOpen, set of 8START
Matrix addition and subtraction
4Identify row, column, square, symmetric and zero matricesOpen, set of 8START5Add and subtract matricesOpen, set of 8START6Find unknown entries in a matrix equationOpen, set of 8START
Scalar multiplication
7Multiply a matrix by a scalarOpen, set of 8START8Combine scalar multiples of matricesOpen, set of 8START
Matrix products and powers
9Decide whether a matrix product is defined and give its orderOpen, set of 8START10Multiply matricesOpen, set of 8START11Evaluate powers of a square matrixOpen, set of 8START12Identify and construct the identity matrixOpen, set of 8START
Inverse matrices and simultaneous equations
13Find unknown entries in a matrix equationOpen, set of 8START14Find the determinant of a 2 × 2 matrixOpen, set of 8START15Find the inverse of a 2 × 2 matrixOpen, set of 8START16Write simultaneous equations as a matrix equationOpen, set of 8START17Solve simultaneous equations using the inverse matrixOpen, set of 8START
Matrices for networks
18Evaluate powers of a square matrixOpen, set of 8START19Represent a network in a matrixOpen, set of 8START20Identify the network a connection matrix describesOpen, set of 8START21Interpret connection sums and symmetryOpen, set of 8START22Count routes using powers of a connection matrixOpen, set of 8START
Transition matrices
23Set up a transition matrixOpen, set of 8START24Use a transition matrix to predict the next stepOpen, set of 8START
State matrices and recurrence
25Evaluate powers of a square matrixOpen, set of 8START26Generate state matrices by recursionOpen, set of 8START27Determine the long-run state of a transition modelOpen, set of 8START
Matrix applications