Q1Multiple correct3 Marks13 Apr 2025Let W1W_1W1 and W2W_2W2 be two subspaces of a vector space VVV. Which of the following statements is always true?AIf b is a linear combination of the columns of the coefficient matrix A, then the system of linear equations Ax = b has a solution.BConsider a system of linear equations Ax = b. If b is a linear combination of the columns of the coefficient matrix A, then the system Ax = b has a unique solution.CIf AAA is an m×nm \times nm×n matrix such that m<nm < nm<n, then Ax=0Ax = 0Ax=0 has infinitely many solutions.DIf AAA is an m×nm \times nm×n matrix such that rank(A)=n\text{rank}(A) = nrank(A)=n, then the system Ax=0Ax = 0Ax=0 will have a unique solution.
