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Show that the matrix A=[{:(1,2,1),(3,2,3...

Show that the matrix `A=[{:(1,2,1),(3,2,3),(1,1,2):}]` is non-singular and find `A^-1`.

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SRISIRI PUBLICATION-QUESTION PAPER -Section B
  1. Show that the matrix A=[{:(1,2,1),(3,2,3),(1,1,2):}] is non-singular a...

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  2. IF A=[{:(3,-3,4),(2,-3,4),(0,-1,1):}] then show that A^-1=A^3.

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  3. S.T |(1,a,a^2),(1,b,b^2),(1,c,c^2)| = (a-b)(b-c)(c-a).

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  4. Without expanding the determinant , prove that |{:(a,a^2,bc),(b,b^2,ca...

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  5. Show that |(b+c,c+a,a+b),(a+b,b+c,c+a)(a,b,c)|=a^(3)+b^(3)+c^(3)-3abc.

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  6. If diagA=[a(1),a(2),a(3)], then for any integer n ge 1 show that A^(n)...

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  7. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

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  8. If the points whose position vectors are 3bar(i) -2bar(j)-bar(k), 2bar...

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  9. Find the vector equation of the plane passing through the points. 4bar...

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  10. In the two dimensional plane, prove by using vector methods, the equat...

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  11. If bara,barb,barc are non-coplaner, then show that the vectors bara -b...

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  12. Find the area of the triangle formed with the points A(1,2,3), B(2,3,1...

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  13. If bar(a)=2bar(i)+bar(j)-bar(k), bar(b)=-bar(i)+2bar(j)-4bar(k), bar(c...

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  14. Prove that angle in a semi circle is a rightangle by using Vector meth...

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  15. If (sin(alpha+beta))/(sin(alpha-beta)) = (a+b)/(a-b), then prove that ...

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  16. Show that sin A= (sin 3A) /(1+2 cos 2A). Hence find the value of sin 1...

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  17. Show that 1/(sin 10^(@)) - (sqrt(3))/(cos 10^(@)) = 4.

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  18. Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)...

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  19. Prove that (1+cos""pi/10)(1+cos""(3pi)/10)(1+cos""(7pi)/10)(1+cos""(9p...

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  20. If cos alpha =(3)/(5) and cos beta =(5)/(13) and alpha, beta are acut...

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