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1. [Block matrix] (/20) Assuming the matrix K = makes sense, which of the following statements must be true? 1. K is square. 2. A is square or wide. 3. K is symmetric, i.e., K = KT . 4. The identity and zero submatrices in K have the same dimensions. 5. The zero submatrix is square. 2. [Stacked matrix] (/10) Let A be an m x n matrix, and consider the stacked matrix S defined by S = When does S have linearly independent columns? When does S have linearly independent rows? Your answer can depend on m, n, or whether or not A has linearly independent columns or rows