Let T: M₂ (R) → M₂ (R) be defined by 0 T(4) = (1₂3) 4 subspaces of T. A. Choose all invariant Answer will be marked as correct only if all correct choices are selected and no wrong choice is selected. There is no negative mark for this question. Subspace of all matrices whose first column is zero. Subspace of all symmetric matrices Subspace of all matrices whose second column is zero. Subspace of all matrices whose second row is zero. Subspace of all skew-symmetric matrices Subspace of all diagonal matrices Subspace of all matrices whose first row is zero

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A: Consider the subspaces  and  of .Find a matrix  such that .

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A: Let us consider a lower  triangular matrix .

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A: There are different statements. It has to be proved whether it is true or false.

Q: In Exercises 15-20, W is a subspace of R4 consisting of vectors of the form X = X1 X2 X3 15. x₁ -…

A: We are sorry. our company allows us only to solve one question at a time. Kindly repost the other…

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