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Hi. I have two questions about the linear algebra. 1. Consider the following sets: (a) The set...

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Advance Math

Hi. I have two questions about the linear algebra.

1. Consider the following sets:

(a) The set f all diagonal 3*3 matrices

(b) The set of all vectors in R^4 whose entries sum to 0.

For the cases where the set is a vectors space, give thedimension and a basis

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2. Let L be the set of all linear transforms from R^3 to R^2

(a) Verify that L is a vector space.

(b) Determine the dimension of L and give a basis for L.

Will thumb up for both answers. Thank you so much.

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