Which of the following sets are subspace of M2x2? (a) All 2 x 2 matrices of the form ( 2) where a+b+c+d = 0. (b) All 2 x 2 matrices of the form ( ) where a + d = 1. (c) All 2 x 2 matrices of the form (ª :) where ab - cd = 0. d

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A: Explanation of the answer is as follows

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Q: Please go through each option with explanation

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A: True Because of subspace is a nonempty set.

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Q: The following subset of R W ((a,b.c): a +b+c 0} is a subspace of R'.

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Q: Select one: a. S={ X2 %3D b. , X €R} S={ 1 C. X 1 X1=2x2} X2 O d. S={ X1=X2}

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Q: Given 7: -9 -10 0 find the closest point to in the subspace W spanned by -5 -6 -4 and 64

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