By Alex Palamides
Advent to MATLAB®Working EnvironmentGetting StartedMemory ManagementVectorsMatricesPlotting with MATLABComplex NumbersM-FilesInput-Output CommandsFile ManagementLogical-Relational OperatorsControl FlowSymbolic VariablesPolynomials(Pseudo)Random NumbersSignalsCategorization through the Variable TypeBasic Continuous-Time SignalsDiscrete-Time SignalsProperties of SignalsTransformations of the Time Variable for Continuous-Time SignalsTransformations of the Time Variable for Discrete-Time SignalsSystemsSystems ClassificationProperties of SystemsTime area method AnalysisImpulse ResponseContinuous. Read more...
summary: advent to MATLAB®Working EnvironmentGetting StartedMemory ManagementVectorsMatricesPlotting with MATLABComplex NumbersM-FilesInput-Output CommandsFile ManagementLogical-Relational OperatorsControl FlowSymbolic VariablesPolynomials(Pseudo)Random NumbersSignalsCategorization through the Variable TypeBasic Continuous-Time SignalsDiscrete-Time SignalsProperties of SignalsTransformations of the Time Variable for Continuous-Time SignalsTransformations of the Time Variable for Discrete-Time SignalsSystemsSystems ClassificationProperties of SystemsTime area process AnalysisImpulse ResponseContinuous
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Extra resources for Signals and systems laboratory with MATLAB
0 0 1 The identity matrix I of size 3 Â 3. 6 7 2 Magic matrix. 2000 Hilbert matrix. 11 Useful Commands diag-triu-tril-toeplitz-hankel-find-sum-rank-norm-eig In this section, we introduce some other commands that are applicable to matrices. Commands A ¼ [1 2 3;4 5 6;7 8 9] Results A¼1 4 7 2 5 8 Comments 3 6 9 Matrix A of size 3 Â 3. diag(A) ans ¼ 1 5 9 B ¼ diag([À1 2 3]) B ¼ À1 0 0 triu(A) ans ¼ 1 0 0 2 5 0 3 6 9 Conversion to an upper triangular matrix. tril(A) ans ¼ 1 4 7 0 5 8 0 0 9 Conversion to a lower triangular matrix.
Error using ) inv Matrix must be square. A is not square, hence the inverse matrix does not exists. A ¼ [2 4 6; 1 1 1;3 4 1] A¼2 1 3 Square matrix A of size 3 Â 3. det(A) ans ¼ 8 The determinant of A is not zero; thus A is invertible. 250 The inverse matrix AÀ1 . B ¼ [1 1 1; 2 2 2; 3 3 3] B¼1 2 3 Square matrix B of size 3 Â 3. det(B) ans ¼ 0 inv(B) 2 5 4 1 4 1 2 3 3 6 6 1 1 1 2 3 Matrix A of size 2 Â 3. The determinant of B is zero; thus B is not invertible. Warning: Matrix is singular to working precision.
The active subﬁgure is the ﬁfth. *exp(Àx)) subplot(2,3,3) Comments Plotting in the active subﬁgure. Activation of the third subﬁgure. 7 Commands for Plotting loglog-semilogx-semilogy-area-fplot-ezplot Besides plot there are also some other commands that can be employed for plotting a function. Suppose that x and y are the two available vectors. The command loglog(x,y) plots y versus x with both axis being logarithmically scaled. Typing semilogx(x,y) only the x-axis is in logarithmic scale, while typing semilogy(x,y) only the y-axis is in logarithmic scale.
Signals and systems laboratory with MATLAB by Alex Palamides