CBSE Class 12-science - Properties and Applications of Determinants Videos

• X+y+4z=6 X+2y-2z=6 λx+y+z=6  How do you find the value of λ?
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• If A is a 2×2 matrix such that|A|= 5. Find |4A|
• Using the properties of determinants,prove that   = -(a-b)(b-c)(c-a)(a3+b3+c3)   Pls note it is c instead of  i 
• 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
• (x-2)²                    (x-1)²                   x² (X-1)²                       X²                   (x + 1)²                           =  -8 X²                      (x + 1)²                  (x + 2)²
• Express the system of linear equations in matrix form: a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂ and a₃x + b₃y + c₃z = d₃
• Write the conditions for a solution of a system of linear equations AX = B.
• Write the given system of linear equations in matrix form. 2x – 3y = 1, x + 3z = 11 and x + 2y + z = 7.
• Find whether the system of linear equation has a unique solution or not. 5x – 10y = 4 and x – 2y = 8.

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