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Basic Mathematics Notes

Basic MathematicsContents1 Basic Questions ..22 Linear and Vectors .. by a scalar .. of two matrices .. for matrix-matrix multiplication .. multiplication .. Matrices .. Scalar products and orthogonality .. Systems .. determinants to invert a2 2matrix .. and Eigenvectors .. 153 Differentiation and .. Results .. rule .. rule .. rule .. points in 1D .. derivatives .. points in 2 dimensions .. Series .. Integrals .. 294 Complex .. concept .. Plane .. Form .. Notation .. Application to waves .. Amplitude and phase .. Complex solution to the wave equation .. 435 Error Notation .. of errors .. with worst case scenario? .. Distribution .. limit theorem .. Intervals.

To understand why we may need to perform matrix-matrix multiplication, consider two cus-tomers of a repair garage, Peter and Alex, who require a number of car parts for each of their vehicles. Peter requires 1 3 litre engine and 2 doors, whereas Alex requires 1 5 litre engine and 4 doors. All the parts require a certain number of screws and bolts.

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