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 2020Suppose ∣aa2a3−1bb2b3−1cc2c3−1∣=0\left|\begin{array}{lll}a & a^{2} & a^{3}-1 \\ b & b^{2} & b^{3}-1 \\ c & c^{2} & c^{3}-1\end{array}\right|=0abca2b2c2a3−1b3−1c3−1=0, where a,b\mathrm{a}, \mathrm{b}a,b and c\mathrm{c}c are distinct real numbers. If a=3{a}=3a=3, then the value of abcabcabc is:IPMAT Indore 2024If A=[x1x27y1y2y3z183]A = \begin{bmatrix} x_1 & x_2 & 7 \\ y_1 & y_2 & y_3 \\ z_1 & 8 & 3 \end{bmatrix}A=x1y1z1x2y287y33 is a matrix such that the sum of all three elements along any row, column or diagonal are equal to each other, then the value of determinant of A is: