# Find range of a matrix

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## Quiz 7. Find a Basis of the Range, Rank, and Nullity of a Matrix

THE RANGE AND THE NULL SPACE OF A MATRIX Suppose that A is an m× n matrix with real entries. There are two important subspaces associated to the matrix A. One is a subspace of ## M.6 Range, Nullspace and Projections

By definition, the range R ( A) of the matrix A is given by. R ( A) = { b ∈ R 3 | A x = b for some x ∈ R 4 }. Thus, a vector b = [ b 1 b 2 b 3] in R 3 is in the range R ( A) if and only if the

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