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What is the value of abs([sin^2theta,cos...

What is the value of `abs([sin^2theta,cos^2theta,1],[cos^2theta,sin^2theta,1],[-10,12,2])` ?

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USHA PUBLICATION-MATRICES DETERMINANTS PROBABILITY -EXERCISE
  1. If A=[[1,2],[3,-5]], find abs(adjA)absA.

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  2. If A is a square matrix given by [[1,2],[3,4]], find adj (adj A).

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  3. What is the value of abs([sin^2theta,cos^2theta,1],[cos^2theta,sin^2th...

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  4. If A is a 2xx2 non-singular matrix and absA=1/2 then which matrix is r...

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  5. What is the order of the matrix B if[" 3"" 4"" 2 ""] B =[ 2 "" 1"" 0""...

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  6. State'True'or'false':For any square matrix A, AA' is symmetric.

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  7. State ‘True’ or ‘False’. For any square matrix A, A+A' is symmetric.

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  8. State ‘True’ or ‘False’. For any square matrix A, A-A' is skew symmetr...

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  9. If A is a 4xx5 matrix and B is a matrix such that A^TB and BA^T both a...

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  10. If A and B are two square matrices of same order, then (A+B)^2=A^2+2AB...

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  11. 1.Solve for x: abs ((1,1,x),(p+1,p+1,p+x),(3,x+1,x+2))=0

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  12. Solve [[x+a,b,c],[a,x+b,c],[a,b,x+c]]=0

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  13. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  14. Without expanding,show that the following determinant vanishes. abs((2...

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  15. Without expanding,show that the following determinant vanishes. abs ((...

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  16. Without expanding,show that the following determinant vanishes. abs((b...

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  17. Without expanding,show that the following determinant vanishes. abs((6...

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  18. Show that: abs((1,a,a^2),(1,b,b^2),(1,c,c^2))=(a-b)(b-c)(c-a)

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  19. If a, b and c are all positive real, then prove that minimum value of ...

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  20. Show that: abs((a,a^2,a^3),(b,b^2,b^3),(c,c^2,c^3))=abc(a-b)(b-c)(c-a)

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