Question: Determine if the space described below is a subspace or not a subspace. The set of all vectors [x,y,z] in R3 such that y=3x and

Determine if the space described below is a subspace or not a subspace. The set of all vectors [x,y,z] in R3 such that y=3x and z=4x. O Subspace Not a subspaceFor the given eigenvector v of the matrix A, find the corresponding eigenvalue. A =Suppose that A is diagonalizable to the matrix D. True or false: A and D are similar. O True O FalseLet A be an n x n matrix. All of the following statements are equiva- lent except for one. Identify which statement is NOT true if the other statement are all true. (a) A is invertible (b) rank(A)=n (c) nullity(A)=0 (d) A is the product of elementary matrices. (e) Ax = 0 has only the trivial solution. (f) The column vectors of A are linearly independent. (g) det(A) = 0 (h) 0 is not an eigenvalue of A O a O b O c Od Oe Of O g

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