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MATRIXTRANSPOSE

true mathematical use of a matrix was first formulated around 1850, by English mathematician, poet, and musician

James Sylvester (1814–1897).

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MATRIXIn mathematics,

a matrix (plural matrices) is

a rectangular array ofnumbers or symbols

arranged in rows and columns.

A

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TRANSPOSE OF A MATRIX

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FIRST LOOP

SECOND LOOP

THIRD LOOP

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first loop

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A 0 1 2012

First Loop Enter values:

i= #j= #

ij

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A 0 1 20 112

First Loop Enter values:

i=0j=0

ij

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A 0 1 20 1 212

First Loop Enter values:

i=0j=1

ij

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A 0 1 20 1 2 312

First Loop Enter values:

i=0j=2

ij

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A 0 1 20 1 2 31 42

First Loop Enter values:

i=1j=0

ij

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A 0 1 20 1 2 31 4 52

First Loop Enter values:

i=1j=1

ij

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A 0 1 20 1 2 31 4 5 62

First Loop Enter values:

i=1j=2

ij

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A 0 1 20 1 2 31 4 5 62 7

First Loop Enter values:

i=2j=0

ij

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A 0 1 20 1 2 31 4 5 62 7 8

First Loop Enter values:

i=2j=1

ij

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A 0 1 20 1 2 31 4 5 62 7 8 9

First Loop Enter values:

i=2j=2

ij

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second loop

19second Loop

20second LoopRESULT

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Third loop

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Formula for Transpose

𝐴𝑖𝑗=𝐴 𝑗𝑖

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