Determine if the given system is consistent. Do not completely solve the system. = 8 2X1 3 4x1 -3x2 +4x3 - 3x4 = +4x3 + 2x4 = 4 + 9x4 = -4 Choose the correct answer below. O A. The system is consistent because the system can be reduced to a triangular form that indicates that a solution exists. OB. The system is inconsistent because the system cannot be reduced to a triangular form. OC. The system is inconsistent because the system can be reduced to a triangular form that contains a contradiction. O D. The system is consistent because the system can be reduced to a triangular form that indicates that no solutions exist.

Branch of mathematics concerned with mathematical structures that are closed under operations like addition and scalar multiplication. It is the study of linear combinations, vector spaces, lines and planes, and some mappings that are used to perform linear transformations. Linear algebra also includes vectors, matrices, and linear functions. It has many applications from mathematical physics to modern algebra and coding theory.