If the subspace of all solutions of Ax = 0 has a basis consisting of six vectors and if A is a 5x9 matrix, what is the rank of A? rank A = 3 (Type a whole number.)
If the subspace of all solutions of Ax = 0 has a basis consisting of six vectors and if A is a 5x9 matrix, what is the rank of A? rank A = 3 (Type a whole number.)
If the subspace of all solutions of Ax = 0 has a basis consisting of six vectors and if A is a 5x9 matrix, what is the rank of A? rank A = 3 (Type a whole number.)
Transcribed Image Text:If the subspace of all solutions of Ax = 0 has a basis consisting of six vectors and if A is a 5×9 matrix, what is the rank of A?
rank A = 3 (Type a whole number.)
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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