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Maths-

General

Easy

Question

If $A equals open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell 1 0 1 end cell row cell 2 1 0 end cell row cell 3 2 1 end cell end table close square brackets$ then det A=

2
3
4
5

hint Hint:

In the question we have to find the determinant of the given matrix. det= $open vertical bar table row cell a subscript 11 end cell cell a subscript 12 end cell cell a subscript 13 end cell row cell a subscript 21 end cell cell a subscript 22 end cell cell a subscript 23 end cell row cell a subscript 31 end cell cell a subscript 32 end cell cell a subscript 33 end cell end table close vertical bar equals a subscript 11 left parenthesis a subscript 22 a subscript 33 minus a subscript 32 a subscript 23 right parenthesis minus a subscript 12 left parenthesis a subscript 21 a subscript 33 minus a subscript 31 a subscript 23 right parenthesis plus a subscript 13 left parenthesis a subscript 21 a subscript 32 minus a subscript 31 a subscript 22 right parenthesis$ , now putting the values in the formula we will get the answer.

The correct answer is: 2

For, $A equals open square brackets table attributes columnalign left left left columnspacing 1em end attributes row cell 1 0 1 end cell row cell 2 1 0 end cell row cell 3 2 1 end cell end table close square brackets$
det A= $open vertical bar table row 1 0 1 row 2 1 0 row 3 2 1 end table close vertical bar equals open square brackets 1 left parenthesis 1 cross times 1 minus 2 cross times 0 right parenthesis close square brackets minus open square brackets 0 left parenthesis 2 cross times 1 minus 3 cross times 0 right parenthesis close square brackets plus open square brackets 1 left parenthesis 2 cross times 2 minus 3 cross times 1 right parenthesis close square brackets space space space space space space space space space space space space space space space equals open square brackets 1 cross times 1 close square brackets minus 0 plus open square brackets 1 cross times 1 close square brackets space space space space space space space space space space space space space space space equals 1 minus 0 plus 1 equals 2$

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