construct 3*2 matrix. a) aij = i*j
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Answer:
Step-by-step explanation:begin mathsize 16px style space 3 cross times 2 space space matrix space space is space space open square brackets table row cell straight a subscript 11 end cell cell straight a subscript 12 end cell row cell straight a subscript 21 end cell cell straight a subscript 22 end cell row cell straight a subscript 31 end cell cell straight a subscript 32 end cell end table close square brackets
Since space straight a subscript ij space space end subscript equals space 2 straight i space minus space straight j
Therefore comma
straight a subscript 11 space equals 2 space cross times space 1 minus 1 space equals 1 space space space space comma straight a subscript 12 space equals space 2 cross times 1 space minus space 2 space equals 0 space space space
straight a subscript 21 space end subscript equals 2 space cross times space 2 minus 1 space equals 3 space space space space comma straight a subscript 22 space equals 2 space cross times space 2 space minus 2 space equals 2
straight a subscript 31 space end subscript equals 2 space cross times 3 space minus 1 space equals 5 space space space space comma straight a subscript 32 space equals 2 space cross times 3 space minus 2 space equals 4
Therefore space the space required space 3 cross times 2 space Matrix space is space open square brackets table row 1 0 row 3 2 row 5 4 end table close square brackets.
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