Question

show that $open square brackets table row 5 cell space minus 1 end cell row 6 cell space space space space 7 end cell end table close square brackets open square brackets table row 2 cell space 1 end cell row 3 cell space 4 end cell end table close square brackets not equal to open square brackets table row 2 cell space 1 end cell row 3 cell space 4 end cell end table close square brackets open square brackets table row cell 5 space space end cell cell negative 1 end cell row 6 cell space space space 7 end cell end table close square brackets$

Solution

open square brackets table row cell 5 space end cell cell negative 1 end cell row 6 cell space space space 7 end cell end table close square brackets space open square brackets table row 2 cell space space 1 end cell row 3 cell space space 4 end cell end table close square brackets equals open square brackets table row cell 10 minus 3 end cell cell space 5 minus 4 end cell row cell 12 plus 21 end cell cell space space 6 plus 28 end cell end table close square brackets equals open square brackets table row 7 cell space space 1 end cell row 33 cell space 34 end cell end table close square brackets open square brackets table row 2 cell space space 1 end cell row 3 cell space space 4 end cell end table close square brackets space open square brackets table row 5 cell space space minus 1 end cell row 6 cell space space space space space 7 end cell end table close square brackets equals open square brackets table row cell 10 plus 6 end cell cell space space minus 2 plus 7 end cell row cell 15 plus 24 end cell cell space space space space minus 3 plus 28 end cell end table close square brackets equals open square brackets table row 16 cell space 5 end cell row 39 cell space space 25 end cell end table close square brackets therefore open square brackets table row 5 cell space space minus 1 end cell row 6 cell space space space space space 7 end cell end table close square brackets space open square brackets table row 2 cell space 1 end cell row 3 cell space 4 end cell end table close square brackets not equal to open square brackets table row 2 cell space space 1 end cell row 3 cell space space 4 end cell end table close square brackets space open square brackets table row 5 cell space space minus 1 end cell row 6 cell space space space space space 7 end cell end table close square brackets

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Matrices

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If a matrix has 18 elements, what are the possible orders it can have? What, if it has 5 elements?

If a matrix A has 12 elements, what arc the possible orders it can have 7 What if it has 7 elements ?

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