(a) A matrix with m rows and n columns multiplies a vector with ____ components

Question

(a) A matrix with m rows and n columns multiplies a vector with ____ components to produce a vector with ____ components. (b) The planes from the m equations Ax=b are in ___-dimensional space. The combination of the columns of A is in ____ -dimensional space.
(a) A matrix with m rows and n columns multiplies a vector with ____ components to produce a vector with ____ components. (b) The planes from the m equations Ax=b are in ___-dimensional space. The combination of the columns of A is in ____ -dimensional space.

Explanation / Answer

a) A matrix with m rows and n columns multiplies a vector with _m___ components to produce a vector with __m__ components. (b) The planes from the m equations Ax=b are in _m__-dimensional space. The combination of the columns of A is in __m__ -dimensional space

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