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Use product : {:[(1,-1,2),(0,2,-3),(3,-2...

Use product : `{:[(1,-1,2),(0,2,-3),(3,-2,4)][(-2,0,1),(9,2,-3),(6,1,-2)]` to solve the system of equations: x-y+2z=1,2y-3z=1,3x-2y+4z=2

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Given that A = {:[(-4,4,4),(-7,1,3),(5,-3,-1)] and B = [(1,-1,1),(1,-2,-2),(2,1,3)] . Find AB. Use this to solve the following system of equations: x-y+z=4,x-2y-2z=9,2x+y+3z=1.

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Using elementary transformations, find the inverse of the matrix: A = {:[(8,4,3),(2,1,1),(1,2,2)] and use it to solve the following system of equations: {:(8x+4y+3z=19),(2x+y+z=5),(x+2y+2z=7):}

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Given that A = {:[(1,-1,0),(2,3,4),(0,1,2)] and B = [(2,2,-4),(-4,2,-4...

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  2. Given that A = {:[(-4,4,4),(-7,1,3),(5,-3,-1)] and B = [(1,-1,1),(1,-2...

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  3. Use product : {:[(1,-1,2),(0,2,-3),(3,-2,4)][(-2,0,1),(9,2,-3),(6,1,-2...

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  4. Solve the following systems of homogenous equations: {:(2x+3y-z=0),(...

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  5. Solve the following systems of homogenous equations: {:(3x+y-2z=0),(...

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  6. Solve the following systems of homogenous equations: {:(x+2y-2z=0),(...

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  7. Solve the following systems of homogenous equations: {:(x+y-z=0),(3x...

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  8. The sum of three numbers is 6. If we multiply third number by 3 and ad...

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  9. The sum of three numbers-is 6. If we multiply the third number by 2 an...

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  10. The cost of 4 kg onion, 3 kg wheat and 2 kg rice is Rs 60. The cost of...

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  11. Find area of the triangle with vertices at the point given in the fol...

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  12. Show that Delta={:|(x,p,q),(p,x,q),(q,q,x)| = (x-p)(x^2+px-2q^2)

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  13. If Delta= {:|(0,b-a,c-a),(a-b,0,c-b),(a-c,b-c,0)|, then show that Delt...

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  14. If x = -4 is a root of Delta= {:|(x,2,3),(1,x,1),(3,2,x)|=0, then find...

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  15. Show that the points (a+5,a-4),(a-1,a+3) and (a,a) do not lie on a str...

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  16. If A=[(3,1),(7,5)] , find x and y so that A^2 + xI-yA=0. Hence find A^...

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  17. Without expanding, show that the following determinants vanish: {:|(...

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  18. Prove that: {:|(a+b+nc,na-a,nb-b),(nc-c,b+c+na,nb-b),(nc-c,na-a,c+a+...

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  19. Prove that triangle = |[a+bx,c+dx,p+qx],[ax+b,cx+d,px+q],[u,v,w]| = (1...

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  20. If |[[x,2],[18,x]]|=|[[6,2],[18,6]]|, then x is equal to:

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