IPMAT IndoreModern Math > Medium261316991✅ Correct Option: 3Related questions:IPMAT Indore 2021If A,BA, BA,B and A+BA + BA+B are non singular matrices and AB=BAAB = BAAB=BA then 2A−B−A(A+B)−1A+B(A+B)−1B2A - B - A(A + B)^{-1}A + B(A + B)^{-1} B2A−B−A(A+B)−1A+B(A+B)−1B equalsIPMAT Indore 2026Let M=[111abca2b2c2]M = \begin{bmatrix} 1 & 1 & 1 \\ a & b & c \\ a^2 & b^2 & c^2 \end{bmatrix}M=1aa21bb21cc2 where a,ba, ba,b and ccc are real numbers such that a+b+c=0a + b + c = 0a+b+c=0 and abc≠0abc \neq 0abc=0. If detM=0\det M = 0detM=0, then the maximum possible value of a2+b2c2\frac{a^2+b^2}{c^2}c2a2+b2 is ___IPMAT Indore 2019If AAA is a 3×33 \times 33×3 non-zero matrix such that A2=0A^2 = 0A2=0 then the determinant of (I+A)50−50A(I + A)^{50} - 50A(I+A)50−50A is equal to