Which of thefollowing statements are true? Remember that amathematical statement is said to be true if it is always true,under all circumstances.A. The equation Ax = b is consistent if the augmentedmatrix A| 6| has a pivot position in every row.B. The solution set of a linear system whose augmentedmatrix is a1 a2 az | b| is the same as the solution set ofAx = b, if A = [a1 a2 a3 ].|C. Any linear combination of vectors can always bewritten in the form Ax for a suitable matrix A and vectorx.|D. If A is an m × n matrix whose columns do not spanR", then the equation Axb in Rm.b is inconsistent for someE. The equation Ax= b is referred to as a vectorequation.F. A vector b is a linear combination of the columns of amatrix A if and only if the equation Ax = b has at leastone solution.

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Which of the following statements are true? Remember that a mathematical statement is said to be true if it is always true, under all circumstances. b is consistent if the augmented A. The equation Ax matrix [A | b] has a pivot position in every row. B. The solution set of a linear system whose augmented matrix is a1 a2 az b] is the same as the solution set of Ax = b, if A = [a1 a2 az]. OC. Any linear combination of vectors can always be written in the form Ax for a suitable matrix A and vector x. ND. 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 Rm. E. The equation Ax = b is referred to as equation. vector F. 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.