Find an example of a 2x2 matrix in case when B^2 = 0, although B is not the 0 matrix.
Please help!!! Thank you! :-)
Please help!!! Thank you! :-)
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B^2 = 0 is a 2X2 matrix of the form
|a b|
|-(a^2)/b -a|
so take any a and b and follow the form above, B^2 = 0
example
a = 4
and
b = 8
the matrix B would be [ 4, 8 | -2, -4]
|4 8| * |4 8| = |0 0|
|-2 -4| |-2 -4| |0 0|
and hence B^2 = 0
|a b|
|-(a^2)/b -a|
so take any a and b and follow the form above, B^2 = 0
example
a = 4
and
b = 8
the matrix B would be [ 4, 8 | -2, -4]
|4 8| * |4 8| = |0 0|
|-2 -4| |-2 -4| |0 0|
and hence B^2 = 0
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How exactly does B relate to the 2x2 matrix? Is this representing linear equations or non-linear?
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huh?