IPMAT Indore 2021 (MCQ) - If A, B and A + B are non singular matrices and AB = BA then 2A - B - A(A + B)^-1A + B(A + B)^-1 B equals | PYQs + Solutions | AfterBoards
Skip to main contentSkip to question navigationSkip to solution
IPMAT Indore Free Mocks Topic Tests

IPMAT Indore 2021 (MCQ) PYQs

View all IPMAT/JIPMAT PYQs →
Collection of AfterBoards IPMAT JIPMAT Past Year Papers with Solutions

IPMAT Indore 2021

Modern Math
>
Matrices & Determinants

Medium

If A,BA, B and A+BA + B are non singular matrices and AB=BAAB = BA then 2A−B−A(A+B)−1A+B(A+B)−1B2A - B - A(A + B)^{-1}A + B(A + B)^{-1} B equals

Correct Option: 1

Related questions:

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

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

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

Keyboard Shortcuts

  • Left arrow: Previous question
  • Right arrow: Next question
  • S key: Jump to solution
  • Q key: Jump to question