Let A be an 5 x 4 matrix. Choose the best answer from the o…
Questions
Let A be аn 5 x 4 mаtrix. Chооse the best аnswer frоm the options given to answer the question. The columns of the matrix A are linearly independent if and only if A has how many pivots? A) The matrix A will have to have 4 pivot columns. This would mean that has only the trivial solution as there are no free variables. B) The matrix A will have to have 4 pivot rows. Then all matrix equations will have at least one solution so the columns are linearly independent. C) The matrix A must have 5 pivot columns. This is because any column will be a pivot column if linearly independent. D ) The matrix A must have 5 pivot rows. Of there is a pivot in every row, then there are no free variables when solving . So the columns will be linearly independent. Of the choices, [1] is the most appropriate.