IPMAT IndoreModern Math > Hard245\frac{2}{45}452145\frac{1}{45}451415\frac{4}{15}154115\frac{1}{15}151✅ Correct Option: 1Related questions: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 toIPMAT Indore 2022Suppose a,ba, ba,b and ccc are integers such that a>b>c>0a>b>c>0a>b>c>0, and A=[abcbcacab]A=\left[\begin{array}{lll}a & b & c \\ b & c & a \\ c & a & b\end{array}\right]A=abcbcacab. Then the value of the determinant of AAA isIPMAT 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 equals