which MATLAB version will run on my laptop? windows 7 64 bit, pentium dual core 2.3ghz, 2gb ram, intel graphics 1gb

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Yes, it is ok opengl 1.1.0. (This is the same version I have on my laptop, and Matlab R2016b works well).
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Yes, OpenGL 1.1 is still supported; see http://www.mathworks.com/help/matlab/creating_plots/system-requirements-for-matlab-graphics.html . Note that some features will be unavailable.
"Most graphics hardware released since 2006 has OpenGL 2.1 or later" so perhaps there is a later OpenGL available for your system.
just last query, i will be doing image processing with it. image transformations using matrix. will it work?

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To find out which versions of MATLAB work with which operating systems, see the Platform Road Map for the MATLAB and Simulink Product Families. You should not have a problem with your hardware configuration.

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