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Introduction To Determinants Free Doubts and Solutions

CBSE - XII Science - Mathematics - Determinants

What is Consistency or inconsistentency

Asked by Singha7225 30th July 2019, 8:55 PM
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CBSE - XII Science - Mathematics - Determinants

evaluate 0   2   0 2  3    4 4   5   6 

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CBSE - XII Science - Mathematics - Determinants

Prove that begin mathsize 20px style open vertical bar table row cell a squared plus lambda squared end cell cell a b plus c lambda end cell cell c a minus b lambda end cell row cell a b minus c lambda end cell cell b squared plus lambda squared end cell cell b c plus a lambda end cell row cell c a plus b lambda end cell cell b c minus a lambda end cell cell c squared plus lambda squared end cell end table close vertical bar open vertical bar table row lambda c cell negative b end cell row cell negative c end cell lambda a row b cell negative a end cell lambda end table close vertical bar equals lambda cubed open parentheses lambda squared plus a squared plus b squared plus c squared close parentheses squared end style

Asked by sunil2791 29th July 2017, 10:33 AM
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CBSE - XII Science - Mathematics - Determinants

Prove that begin mathsize 20px style open vertical bar table row cell open parentheses x minus 2 close parentheses squared end cell cell space space open parentheses x minus 1 close parentheses squared end cell cell x squared end cell row cell open parentheses x minus 1 close parentheses squared end cell cell x squared end cell cell space space open parentheses x plus 1 close parentheses squared end cell row cell x squared end cell cell open parentheses x plus 1 close parentheses squared end cell cell open parentheses x plus 2 close parentheses squared end cell end table close vertical bar equals negative 8 end style

Asked by sunil2791 29th July 2017, 10:27 AM
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CBSE - XII Science - Mathematics - Determinants

Prove that 
begin mathsize 20px style open vertical bar table row cell x plus 1 space space space end cell cell x plus 2 space space space end cell cell x plus alpha end cell row cell x plus 2 space space end cell cell x plus 3 space space end cell cell x plus beta end cell row cell x plus 3 space space end cell cell x plus 4 space space end cell cell x plus gamma end cell end table close vertical bar equals 0 comma w h e r e space alpha comma beta comma gamma space a r e space g i v e n space t o space b e space i n space A. P. end style

Asked by sunil2791 22nd July 2017, 9:29 AM
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CBSE - XII Science - Mathematics - Determinants

Prove that 
begin mathsize 20px style open vertical bar table row cell sin squared A space space end cell cell sin A cos A space space space space end cell cell cos squared A end cell row cell sin squared B space space space end cell cell sin B cos B space space end cell cell cos squared B end cell row cell sin squared C space space space end cell cell sin C cos C space space end cell cell cos squared C end cell end table close vertical bar equals sin open parentheses A minus B close parentheses sin open parentheses B minus C close parentheses sin open parentheses C minus A close parentheses end style

Asked by sunil2791 22nd July 2017, 9:26 AM
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CBSE - XII Science - Mathematics - Determinants

Prove that
begin mathsize 20px style open vertical bar table row cell 1 space space end cell cell b c plus a d space space end cell cell b squared c squared plus a squared d squared end cell row cell 1 space end cell cell c a plus b d space space end cell cell c squared a squared plus b squared d squared end cell row cell 1 space end cell cell a b plus c d space space end cell cell a squared b squared plus c squared d squared end cell end table close vertical bar equals open parentheses a minus b close parentheses open parentheses a minus c close parentheses open parentheses a minus d close parentheses open parentheses b minus c close parentheses open parentheses b minus d close parentheses open parentheses c minus d close parentheses end style

Asked by sunil2791 22nd July 2017, 9:21 AM
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CBSE - XII Science - Mathematics - Determinants

If a,b,c are in A.P.,find the value of
begin mathsize 20px style open vertical bar table row cell 2 y plus 4 end cell cell space space space 5 y plus 7 space space end cell cell 8 y plus a end cell row cell 3 y plus 5 end cell cell 6 y plus 8 end cell cell 9 y plus b end cell row cell 4 y plus 6 end cell cell 7 y plus 9 end cell cell 10 y plus c end cell end table close vertical bar end style

Asked by sunil2791 22nd July 2017, 9:16 AM
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CBSE - XII Science - Mathematics - Determinants

If maximum and minimum values of
begin mathsize 20px style open vertical bar table row cell 1 plus cos squared x space space end cell cell sin squared x end cell cell cos 2 x end cell row cell cos squared x end cell cell 1 plus sin squared x space space end cell cell cos 2 x end cell row cell cos squared x end cell cell sin squared x end cell cell 1 plus cos 2 x end cell end table close vertical bar space a r e space alpha space a n d space beta space r e s p e c t i v e l y comma t h e n
i. space alpha squared plus beta to the power of 101 equals 10 space space space space space space i i. space alpha cubed minus beta to the power of 99 equals 26 space space space space i i i. space 2 alpha squared minus 18 beta to the power of 11 equals 0 space space space i v. space a l l space o f space t h e s e end style

Asked by sunil2791 8th July 2017, 7:44 PM
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CBSE - XII Science - Mathematics - Determinants

If begin mathsize 20px style alpha comma beta comma gamma space a r e space t h e space r o o t s space o f space t h e space e q u a t i o n space x cubed plus p x plus q equals 0 comma t h e n
space t h e space v a l u e space o f space t h e space d e t e r m i n a n t
open vertical bar table row cell alpha space end cell cell beta space end cell gamma row beta gamma alpha row gamma alpha beta end table close vertical bar space equals
i. q space space space space i i.0 space space space space i i i. p space space space space i v. p squared minus 2 p
end style

Asked by sunil2791 8th July 2017, 7:37 PM
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CBSE - XII Science - Mathematics - Determinants

For what value of x, the matrix is singular?

Asked by Topperlearning User 3rd May 2016, 4:42 PM
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CBSE - XII Science - Mathematics - Determinants

Evaluate

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CBSE - XII Science - Mathematics - Determinants

If A is invertible and det A =5, find det adjA. Given, order of A=3.
 

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CBSE - XII Science - Mathematics - Determinants

Evaluate :

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CBSE - XII Science - Mathematics - Determinants

If , then write the value of x.

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CBSE - XII Science - Mathematics - Determinants

If , calculate the value of x.

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CBSE - XII Science - Mathematics - Determinants

      If and . find .

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CBSE - XII Science - Mathematics - Determinants

Given  and . find

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CBSE - XII Science - Mathematics - Determinants

  If , find.

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CBSE - XII Science - Mathematics - Determinants

      If , find .

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CBSE - XII Science - Mathematics - Determinants

If , find  

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CBSE - XII Science - Mathematics - Determinants

If , find.

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CBSE - XII Science - Mathematics - Determinants

Find the value of the determinant,

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CBSE - XII Science - Mathematics - Determinants

Evaluate .

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