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Answer in one word. {:|(3,1,6),(5,2,10...

Answer in one word.
`{:|(3,1,6),(5,2,10),(7,4,14)|`

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Answer in one word. {:|(3,1,9),(5,2,15),(7,4,21)|

Without expanding show that the following determinants vanish |(3,1,6),(5,2,10),(7,4,14)|

Without expanding show that the following determinants vanish |(42,1,6),(28,7,4),(14,3,2)|

Whether the following relation is function? Give reason. If it is a function, determine its domain and range : {(2, 1), (4, 2),(6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range. {(2,1), (4,2), (6,3), (8,4), (10,5), (12,6), (14,7)}

In the determinants {:|(5,-1,4),(2,3,-5),(-1,-2,6)| , find the co-factors of the elements -5,3 and 6.

Compute the following: {:[(-1,4,-6),(8,5,16),(2,8,5)]+[(12,7,6),(8,0,5),(3,2,4)]

Express the matrix {:[(1,4,-6),(7,3,5),(1,-2,4)] as a sum of symmetric and a skew-symmetric matrix.

If A = {:[(5,-1),(6,7)], B = [(2,1),(3,4)], C = [(1,3),(-1,4)] verify the following: (3A)' = 3A'

MODERN PUBLICATION-DETERMINANTS-EXERCISE
  1. Let A be a square matrix of order 3xx3, then prove that |kA|=k|A|.

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  2. If any two rows (or columns) of a determinant are identical, the value...

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  3. Answer in one word. {:|(3,1,6),(5,2,10),(7,4,14)|

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  4. If A is a square matrix of order 3 and |3A| = k|A|, then write the val...

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  5. Write the value of the following determinant abs{:(a-b, b-c, c-a),(b-c...

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  6. Use properties of determinants ot evaluate: {:|(2,a,abc),(2,b,bca),(...

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  7. Use properties of determinants ot evaluate: {:|(x+y,y+z,z+x),(z,x,y)...

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  8. Evaluate |[102,18,36],[1,3,4],[17,3,6]|

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  9. Use properties of determinants ot evaluate: {:|(2,3,1),(4,6,2),(1,3,...

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  10. Use properties of determinants ot evaluate: {:|(2,3,5),(261,592,127)...

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  11. Show that x=1 is a root of the equation: {:|(x+1,2x,-11),(2x,x+1,-4...

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  12. If p,q,r ar in A.P. write the value of : {:|(x+1,x+2,x+2p),(x+2,x+3,...

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  13. Without expanding, prove that the following determinant vanishes. |...

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  14. Without actual expansion, prove that the following determinants vanish...

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  15. Without actual expansion, prove that the following determinants vanish...

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  16. Without actual expansion, prove that the following determinants vanish...

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  17. Without actual expansion, prove that the following determinants vanish...

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  18. Without actual expansion, prove that the following determinants vanish...

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  19. Without expanding, prove that Delta = abs{:(x+y, y + z, z+ x),(z, x ,...

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  20. Without expanding, prove that : |{:(1, bc, a(b+ c) ),(1, ca, b ( c+ a)...

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