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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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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
20second LoopRESULT
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Formula for Transpose
𝐴𝑖𝑗=𝐴 𝑗𝑖