1.

If `A=1/pi[[sin^-1(xpi),tan^-1(x/pi)],[sin^-1(x/pi),cot^-1(xpi)]]` and `B=1/pi[[-cos^-1(xpi),tan^-1(x/pi)],[sin^-1(x/pi),-tan^-1(xpi)]]` find the value of A-B in terms of identity matrix

Answer» A-B=`1/pi[[sin^(-1)(xpi)+cos^(-1)(xpi),0],[0,cot^(-1)(pix)+tan^(-1)(pix)]]`
`=1/pi[[pi/2,0],[0,pi/2]]`
`=1/2[[1,0],[0,1]]`
A-B=`1/2I`.


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