The (right) nullspace is the vector space consisting of all n×1 vectors X satisfying AX = 0. You find a basis for the nullspace by choosing Nullspace Basis from the Matrices submenu.
Matrices + Nullspace Basis
, nullspace basis:
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The left nullspace is the vector space consisting of all 1×m vectors Y satisfying YA = 0. You find a basis for the left nullspace by first taking the transpose of A and then choosing Nullspace Basis from the Matrices submenu.
Evaluate
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Matrices + Nullspace Basis
, nullspace basis:
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To check that this vector is in the left nullspace, take the transpose of the vector and check the product.
Evaluate
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