Let \(\mathrm{P}\) be a non-singular matrix such that \(\mathrm{I}+\mathrm{P}+\mathrm{P}^2+\ldots...

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If \( \mathrm{A} \) is an \( 3 \times 3 \) non-singular matrix such that \( A A^{T}=A^{T} A \) a....

Consider an arbitrary \( 3 \times 3 \) non-singular matrix \( A=[a i j] \). A matrix \( B=[b i j....

Find a non singular matrix P such that P^tAP is the normal form of A under congruence.

Find a non singular matrix P such that P^tAP is a diagonal matrix.

If A is mxn matrix & if P be a non-singular matrix such that PA=[B/O], then what is the size of B?

How to find non singular matrices P and Q such that PAQ is in normal form.....(lect-4)

Let \( \mathrm{M} \) be a square matrix of order 3 whose elements a...

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