Given a matrix $H \in \mathbb{R}^{M \times K}$, the new matrix $W$ is defined as $$ W = H^T H,$$
where $T$ denotes the transpose operator.
I know that $W$ is invertible if $M \geq K$, but how can I prove it? Thank you!
Given a matrix $H \in \mathbb{R}^{M \times K}$, the new matrix $W$ is defined as $$ W = H^T H,$$
where $T$ denotes the transpose operator.
I know that $W$ is invertible if $M \geq K$, but how can I prove it? Thank you!
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