Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. A. s = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}
Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. A. s = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}
Show Showing Linear Dependence that the set is linearly dependent by finding a nontriviai linear combination of vectors in the set whose sum is the zero vector. Then express one of the vectors in the set as a linear combination of the other vectors in the set. A. s = {(3, 4), (-1, 1), (2, 0)} b). s = {(1, 1, 1), (1, 1, 0), (0, 1, 1), (0, 0, 1)}
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.
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