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If $A$ is invertible then it is invertible as a transformation with the inverse $A^{-1}$ if and only if $A$ is bijective.
A is invertible if and only if $\text{row}(A)=\mathbb{F}^n$, which happens if and only if the rows of $A$ form a basis for $\mathbb{F}^n$
A is invertible if and only if $\text{row}(A)=\mathbb{F}^n$, which happens if and only if the rows of $A$ form a basis for $\mathbb{F}^n$
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If $A$ is invertible then it is invertible as a transformation with the inverse $A^{-1}$ if and only if $A$ is bijective.
A is invertible if and only if $\text{row}(A)=\mathbb{F}^n$, which happens if and only if the rows of $A$ form a basis for $\mathbb{F}^n$
A is invertible if and only if $\text{row}(A)=\mathbb{F}^n$, which happens if and only if the rows of $A$ form a basis for $\mathbb{F}^n$
Concepts
Coming soonIf
Coming soonOnly If
Coming soonProof
Coming soon
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