The rank of m - n matrix where m - n cannot be more than

If A is any matrix of order m × n then rank of A ≤ min m , n ∴ rank of A≤ m nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;(∵ m lt; n) n ...

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Transpose of a Matrix

The rank of m...

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The rank of (m $\times$ n) matrix ( where m < n) cannot be more than

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A = {[a_{i j}]}_{m \times n}

\times

A^{T} A)^{- 1} A^{T}

n \times n

r (0 < r < n

m, n

n \geq m,

(\begin{matrix} n m \end{matrix}) =^{n} C_{m} .

(\begin{matrix} n m \end{matrix}) + (\begin{matrix} n - 1 m \end{matrix}) + (\begin{matrix} n - 2 m \end{matrix}) + \dots + (\begin{matrix} m m \end{matrix})

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