Please explain clearly Which of the following statements are true? (May contain one or more true statements, or none.)OA.If A is an m X n matrix whose columns do not span R", then the equation Ax = b is inconsistent for some b in R".В.If the augmented matrix [ A b] has a pivot position in every row, then the equation Ax = b is inconsistent.OC.The equation Ax = b is referred to as a vector equation.OD.If A is an m X n matrix and if the equation Ax = b is inconsistent for some b in R", then A cannot have a pivot position in every row.OE.A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution.OF.If the columns of an m X n matrixA span R", then the equation Ax = b is consistent for each bin R".

Given: A) If A is an m×n matrix whose columns do not span ℝm, then the equations Ax=b is…

Which of the following statements are true? (May contain one or more true statements, or none.) DA. If A is an m X n matrix whose columns do not span R", then the equation Ax = b is inconsistent for some b in R". DB. If the augmented matrix [ A b ] has a pivot position in every row, then the equation Ax = b is inconsistent. DC. The equation Ax = b is referred to as a vector equation. DD. If A is an m X n matrix and if the equation Ax = b is inconsistent for some b in R", then A cannot have a pivot position in every row. DE. A vector b is a linear combination of the columns of a matrix A if and only if the equation Ax = b has at least one solution. OF. If the columns of an m × n matrix A span R", then the equation Ax = b is consistent for each b in R".