Surabhi Asked a Question
July 3, 2020 3:40 pmpts 30 pts
1.64. Let A and B be real n Xn matrices such that AB + B2 is non-singular. Then (i) A is non-singular but A +B is singular (ii) both A and A + B are non-singular ii) both B and A + B are non-singular (iv) both A and B are non-singular.
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  • Ujjawal vishal thankyou
    Given, |AB+B^2|≠0 (since , AB +B^2 is nonsingular). => |B(A+B)|≠0 => |B||A+B|≠0 So, B ≠0 or ,|A+B|≠0 hence option iii is true.
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  • Arzoo thankyou
    see the attachment
    • cropped2097602015688041736.jpg
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