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Reference.org
Invertible matrix
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<p>In <a href="/facts/Linear_algebra/8VaB4VWk">linear algebra</a>, an invertible matrix is a <a href="/facts/Square_matrix/5TP9mNNn">square matrix</a> that has an <a href="/facts/Multiplicative_inverse/yczdYyCw">inverse</a>. In other words, if some other <a href="/facts/Matrix_(mathematics)/qa8FI4ko">matrix</a> is multiplied by the invertible matrix, the result can be multiplied by an inverse to undo the operation. An invertible matrix multiplied by its inverse yields the <a href="/facts/Identity_matrix/Glbcf6ol">identity matrix</a>. Invertible matrices are the same size as their inverse. </p>