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IPMAT Indore 2019 (SA) PYQs

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Collection of AfterBoards IPMAT JIPMAT Past Year Papers with Solutions

IPMAT Indore 2019

Modern Math
>
Matrices & Determinants

Hard

Let A,B,CA, B, C be three 4×44 \times 4 matrices such that det A=5,det B=−3det \ A = 5, det \ B = -3, and det C=12det \ C = \frac{1}{2}. Then the detdet 2AB−1C3BT2AB^{-1}C^3B^T is

Entered answer:

✅ Correct Answer: 10

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IPMAT Indore 2019

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

IPMAT Indore 2019

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

IPMAT Indore 2019

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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