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Let T: R^n => R^n be a linear transformation and let A be the standard matrix for T. Then T is invertible if and only if A is an ______________________. In that case, the linear transformation S given by S(x) = A^-1x is the ______________

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1. Let T: R^n => R^n be a linear transformation and let A be the standard matrix for T. Then T is invertible if and only if A is an ______________________. In that case, the linear transformation S given by S(x) = A^-1x is the ______________





 
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