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CBSE Class 12-science Answered

Using the properties of determinants,prove that  open vertical bar table row 1 cell straight a squared plus bc end cell cell straight a cubed end cell row 1 cell straight b plus ca end cell cell straight b cubed end cell row 1 cell straight i squared plus ab end cell cell straight C cubed end cell end table close vertical bar = -(a-b)(b-c)(c-a)(a3+b3+c3)   Pls note it is c instead of  i 
Asked by lekhakarthikeyan | 27 Dec, 2018, 02:23: AM
answered-by-expert Expert Answer
begin mathsize 16px style open vertical bar table row 1 cell straight a squared plus bc end cell cell straight a cubed end cell row 1 cell straight b squared plus ac end cell cell straight b cubed end cell row 1 cell straight c squared plus ab end cell cell straight c cubed end cell end table close vertical bar Use space steps space below colon straight R subscript 2 rightwards arrow straight R subscript 2 space minus space straight R subscript 1 space and space straight R subscript 3 rightwards arrow straight R subscript 3 space minus space straight R subscript 1 space space space space Take space left parenthesis straight b minus straight a right parenthesis space from space straight R subscript 2 space and space Take space left parenthesis straight c minus straight a right parenthesis space from space straight R subscript 3 space Expand space determinant space we space get space minus left parenthesis straight a minus straight b right parenthesis left parenthesis straight b minus straight c right parenthesis left parenthesis straight c minus straight a right parenthesis left parenthesis straight a squared plus straight b squared plus straight c squared right parenthesis NOTE colon space Question space should space be Prove space that space open vertical bar table row 1 cell straight a squared plus bc end cell cell straight a cubed end cell row 1 cell straight b squared plus ac end cell cell straight b cubed end cell row 1 cell straight c squared plus ab end cell cell straight c cubed end cell end table close vertical bar equals negative left parenthesis straight a minus straight b right parenthesis left parenthesis straight b minus straight c right parenthesis left parenthesis straight c minus straight a right parenthesis left parenthesis straight a squared plus straight b squared plus straight c squared right parenthesis end style
Answered by Sneha shidid | 27 Dec, 2018, 12:15: PM

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CBSE 12-science - Maths
open vertical bar table row cell left parenthesis straight b plus straight c right parenthesis hat 2 end cell ab ca row ab cell left parenthesis straight a plus straight c right parenthesis hat 2 end cell bc row ac bc cell left parenthesis straight a plus straight b right parenthesis hat 2 end cell end table close vertical bar equals 2 abc left parenthesis straight a plus straight b plus straight c right parenthesis hat 3
Asked by indupremachandran | 26 May, 2019, 01:08: PM
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CBSE 12-science - Maths
If A is a 2×2 matrix such that|A|= 5. Find |4A|
Asked by denpeter4 | 30 Apr, 2019, 01:30: PM
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CBSE 12-science - Maths
Using the properties of determinants,prove that  open vertical bar table row 1 cell straight a squared plus bc end cell cell straight a cubed end cell row 1 cell straight b plus ca end cell cell straight b cubed end cell row 1 cell straight i squared plus ab end cell cell straight C cubed end cell end table close vertical bar = -(a-b)(b-c)(c-a)(a3+b3+c3)   Pls note it is c instead of  i 
Asked by lekhakarthikeyan | 27 Dec, 2018, 02:23: AM
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CBSE 12-science - Maths
evaluate (solve each and every part) each determinant 67    19        21                          29      26       22                       102     18    36                     39    13        14               (b)      25      31       27        (c)               1        3    4             81    24        26                          63      54       46                         17        3     6   (d)  12   22   32 22    32   42 32     42  52
Asked by haroonrashidgkp | 10 Apr, 2018, 08:44: PM
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CBSE 12-science - Maths
(x-2)2                    (x-1)2                   x2 (X-1)2                       X2                   (x + 1)2                           =  -8 X2                      (x + 1)2                  (x + 2)2
Asked by haroonrashidgkp | 10 Apr, 2018, 08:35: PM
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CBSE 12-science - Maths
Express the system of linear equations in matrix form: a1x + b1y + c1z = d1, a2x + b2y + c2z = d2 and a3x + b3y + c3z = d3
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Write the conditions for a solution of a system of linear equations AX = B.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Write the given system of linear equations in matrix form. 2x – 3y = 1, x + 3z = 11 and x + 2y + z = 7.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Find whether the system of linear equation has a unique solution or not. 5x – 10y = 4 and x – 2y = 8.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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CBSE 12-science - Maths
Ravi purchases 1 pen, 4 pencils and 1 box in Rs. 34. From the same store Neeraj purchases 2 pens, 2 pencils in Rs. 26 and Neetu purchases 1 pen, 3 pencils and 2 boxes in Rs. 43. Express this problem into matrix form.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
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