CBSE Class 12-science Maths Properties and Applications of Determinants
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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.
- 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.
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