IPMAT Indore 2019 (SA) - If a 3 x 3 matrix is filled with +1's and -1's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is | PYQs + Solutions | AfterBoards
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IPMAT Indore 2019

Modern Math
>
Matrices & Determinants

Easy

If a 3×33 \times 3 matrix is filled with +1's and -1's such that the sum of each row and column of the matrix is 1, then the absolute value of its determinant is

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Correct Answer: 4

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If inverse of the matrix [2−0.5−1x]\left[\begin{array}{cc}2 & -0.5 \\ -1 & x\end{array}\right] is [1124]\left[\begin{array}{ll}1 & 1 \\ 2 & 4 \end{array}\right], then the value of xx is

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If AA is a 3×33 \times 3 non-zero matrix such that A2=0A^2 = 0 then the determinant of (I+A)50−50A(I + A)^{50} - 50A is equal to

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