An LTI system is defined by the equation d²y(t) dy(t) +2 dt + 10y(t) = 0.5dx(e) +x(t) at (a) Find the characteristic equation, characteristic roots and characteristic modes of this system (b) Comment on the stability of the system. (c) From the results of part (a), find yo(t), the zero-input component of the response for t2 0, if the initial conditions are yo(0") = 1 and yo(0~) = -4

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Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.