Charlotte_L Posted October 13, 2011 Share Posted October 13, 2011 Given any two nxn nonsingular matrices A and B, prove or disprove the following statement: If AB=-BA, then at least one of the A and B is singular. i tried to use the characteristic det = 0 but nothing really happened. Please help Link to comment Share on other sites More sharing options...
imatfaal Posted October 14, 2011 Share Posted October 14, 2011 Your first phrase states that they are both non-singular - you will struggle to use that as the starting point to show that either matrix must be singular (is is non-zero perhaps) Link to comment Share on other sites More sharing options...
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