Optional Exam 1 Definition Retry: D1: State the definition o…

Optional Exam 1 Definition Retry: D1: State the definition of a linear combination (of matrices). D2: State the definition of a linear transformation. Optional Exam 2 Definition Retry: D3: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is linearly independent if: D4: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is a basis for \(V\) if:

Optional Exam 1 Definition Retry: D1: State the definition o…

Optional Exam 1 Definition Retry: D1: State the definition of a linear combination (of matrices). D2: State the definition of a linear transformation. Optional Exam 2 Definition Retry: D3: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is linearly independent if: D4: Complete the following definition: If \(S=\left\{v_{1},v_{2},\ldots,v_{k}\right\}\) is a set of vectors in a vector space \(V\), then \(S\) is a basis for \(V\) if: