CBSE Class 12-commerce Answered
Show that triangle-1 = triangle-2
triangle-1=
![question image](https://images.topperlearning.com/topper/new-ate/topr_10147127215119146EE443552AECA4E3195F05EBFB137858F.jpeg)
Asked by Aroray1401 | 29 Sep, 2019, 23:16: PM
Given:
![increment equals open vertical bar table row cell A x end cell cell x squared end cell 1 row cell B y end cell cell y squared end cell 1 row cell C z end cell cell z squared end cell 1 end table close vertical bar space a n d space increment subscript 1 equals open vertical bar table row A B C row x y z row cell z y end cell cell z x end cell cell x y end cell end table close vertical bar
T a k i n g space x comma space y comma space z space c o m m o n space f r o m space R subscript 1 comma space R subscript 2 comma space a n d space R subscript 3 space r e s p e c t i v e l y space i n space increment
rightwards double arrow increment equals x y z open vertical bar table row A x cell 1 over x end cell row B y cell 1 over y end cell row C z cell 1 over z end cell end table close vertical bar space
T a k i n g space x y z space c o m m o n space f r o m space R subscript 3 space i n space increment subscript 1
rightwards double arrow increment subscript 1 equals x y z open vertical bar table row A B C row x y z row cell 1 over x end cell cell 1 over y end cell cell 1 over z end cell end table close vertical bar
W e space k n o w space t h a t space t r a n s p o s e space o f space a space d e t e r m i n a n t space i s space t h e space s a m e space t h e space v a l u e space o f space t h e space o r i g i n a l space d e t e r m i n a n t
rightwards double arrow increment subscript 1 equals x y z open vertical bar table row A x cell 1 over x end cell row B y cell 1 over y end cell row C z cell 1 over z end cell end table close vertical bar
H e n c e comma space increment equals increment subscript 1](https://images.topperlearning.com/topper/tinymce/cache/629ee35029a07c405a275d0370150870.png)
Answered by Renu Varma | 30 Sep, 2019, 12:55: PM
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