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12 Jul 2023: STATIONERY REQUIREMENTS SPECIAL REQUIREMENTSCover sheet NoneTreasury tagScript paperRough paper. You may not start to read the questionsprinted on the subsequent pages untilinstructed to do so by the Invigilator. ... ii) Let M be an n n matrix, each of

12 Jul 2023: STATIONERY REQUIREMENTS SPECIAL REQUIREMENTSCover sheet NoneTreasury tagScript paperRough paper. You may not start to read the questionsprinted on the subsequent pages untilinstructed to do so by the Invigilator. ... In addition, L has O(n) non-zero

20 Jul 2023: p. Further suppose that each entry of X is mean zero andsub-Gaussian with parameter σ/4 > 0. ... Let Σ̂ Rpp have entries given by. Σ̂jk :=XTj Xk. ‖Xj‖2‖Xk‖2,.

4 Sep 2023: Instructorsshould be aware that claims will be reviewed by the Postgraduate Office once submitted. ... There is no requirement to produce model solutions,but feedback also suggests that students like receiving them!

10 Apr 2024: Examplesof simple operations are the addition or multiplication of two numbers, or the checking ofthe (p,q) entry of a matrix to see if it is non-zero; with this definition

7 Jul 2023: B σ ,. where Ĥ is the Hamiltonian for the spinless particle given above, I2 is the (2 2)-unitmatrix and σ = (σ1,σ2,σ3) is a three-component vector whose entries