In: Advanced 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 the dimension 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.