Solution-What would the dimension of the null space of a^t

What would the dimension of the null space of a^t

Reference no: EM131025329

I have attached a word document that contains my question. In the attached document R( ) is the row space, N( ) is the null space, and C( ) is the column space.

If you were to let A be a 6 x 14 matrix where the dimension of the row space is 3 (dim(R(A) = 3), what would the dimension of the null space of matrix A (dim(N(A)) be and what would the dimension of the null space of A^T (dim(N(A^T)) be?

Also, if you let B be a 6 x 6 invertible matrix, what would dim(N(BA)^orthogonal complement) and dim(C(A^TB^T)^orthogonal complement) be? (C( ) is the column space)

Reference no: EM131025329

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What would the dimension of the null space of a^t : Also, if you let B be a 6 x 6 invertible matrix, what would dim(N(BA)^orthogonal complement) and dim(C(A^TB^T)^orthogonal complement) be? (C( ) is the column space)

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What would the dimension of the null space of a^t

Reference no: EM131025329

Reference no: EM131025329

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