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

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

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

Find the minor of a_23 in |(2,-3,5),(6,0,4),(1,5,-7)|

Show that [(2,-1,3),(-5,3,1),(-3,2,3)] is inverse of the matrix [(-7,-9,10),(-12,-15,17),(1,1,-1)]

The cofactor of a_13 in {:|(2,-3,5),(6,0,4),(1,5,-7)| is

Which of the following relations are functions form A = (1,3,5,7,9) to B = (1,2,3,4,5). f= ((3,1), (5,1), (7,1), (9,1))

If A = {:[(1,1,-2),(2,1,-3),(4,5,6)] , find |A|.

Show that {:[(4,1),(2,7)][(2,1),(3,4)] ne [(2,1),(3,4)][(4,1),(2,7)]

Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y (i) R_(1) = {(x, y):y=2+x,x inX, yinY} (ii) R_(2) = {(1, 1), (2, 1), (3, 3), (4, 3), (5, 5)} (iii) R_(3) = {(1, 1), (1, 3), (3, 5), (3, 7), (5, 7)} (iv) R_(4) = {(1, 3), (2, 5), (2, 4), (7, 9)}

Consider the pattern shown below: {:(" Row ",1,1,,,),(" Row ",2,3,5,,),(" Row ",3,7,9,11,),(" Row ",4,13,15,17,19):}etc. The number at the end of row 60 is

Find the minors and cofactors of the elements of the matrix A = [(2,-3,5),(6,0,4),(1,5,-7)]

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

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  2. Let A be a square matrix of order 3xx3, then prove that |kA|=k|A|.

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

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

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

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

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

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

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

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

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

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

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

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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 actual expansion, prove that the following determinants vanish...

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

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

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