Matrices
0 of 27 topics done
Matrix notation, types and construction
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 8START4Read, transpose and classify a matrixOpen, set of 8START5Construct a matrix from labelled information or an entry ruleOpen, set of 8START6Solve a matrix equationOpen, set of 8START7Construct, apply and invert a permutation matrixOpen, set of 8START
Linear operations on matrices
8Add and subtract matricesOpen, set of 8START9Find unknown entries in a matrix equationOpen, set of 8START10Multiply a matrix by a scalarOpen, set of 8START11Combine scalar multiples of matricesOpen, set of 8START12Determine whether an inverse exists and calculate itOpen, set of 8START
Matrix products, powers and permutations
13Decide whether a matrix product is defined and give its orderOpen, set of 8START14Multiply matricesOpen, set of 8START15Evaluate powers of a square matrixOpen, set of 8START16Identify and construct the identity matrixOpen, set of 8START17Construct, apply and invert a permutation matrixOpen, set of 8START
Determinants, inverses and matrix equations
18Find the determinant of a 2 × 2 matrixOpen, set of 8START19Find the inverse of a 2 × 2 matrixOpen, set of 8START20Write simultaneous equations as a matrix equationOpen, set of 8START21Solve simultaneous equations using the inverse matrixOpen, set of 8START22Determine whether an inverse exists and calculate itOpen, set of 8START23Solve a matrix equationOpen, set of 8START
Applications of matrix products
24Use matrix multiplication to answer an application questionOpen, set of 8START25Use row and column matrices of ones to extract totalsOpen, set of 8START
Communication and dominance matrices
26Represent a network in a matrixOpen, set of 8START27Identify the network a connection matrix describesOpen, set of 8START28Interpret connection sums and symmetryOpen, set of 8START29Count routes using powers of a connection matrixOpen, set of 8START30Construct and analyse relation matricesOpen, set of 8START