Category: Matrix and Signal Processing

If you can, answer the question below: Write your answer in the comment box. Show linear vector space using matrix-vector multiplication. y = AC = [a1 a2 a3…an] * [c1 c2 c3 …. cn]. [c1 c2 c3 …. cn] is in column form

If you can, answer the question below: Write your answer in the comment box. Vector Space S = { y varepsilon R^m | y = Ac, c varepsilon R^n }

If you can, answer the question below: Write your answer in the comment box. What is the dimension of S?

If you can, answer the question below: Write your answer in the comment box. Can we say that the number of independent directions that the space S spans to be the dimension of S?

If you can, answer the question below: Write your answer in the comment box. What is the dimension of the universe that we live in?

If you can, answer the question below: Write your answer in the comment box. is dim(S) = n?

If you can, answer the question below: Write your answer in the comment box. What is the dimension of a plane?

If you can, answer the question below: Write your answer in the comment box. If we take one more vector orthogonal to the plane, then what will be the dimension?

If you can, answer the question below: Write your answer in the comment box. Define/describe Linear vector space in terms of the vectors [a_1, a_2, …., a_n]

If you can, answer the question below: Write your answer in the comment box. In the above case, if x and y are vectors in S, Does x + y belong to S?