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If A=[[1,tanx],[-tanx,1]],Show that A^...

If `A=[[1,tanx],[-tanx,1]]`,Show that
`A^TA^(-1)=[[cos2x,-sin2x],[sin2x,cos2x]]`

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MAXIMUM PUBLICATION-DETERMINANTS-EXAMPLE
  1. Consider the system of equations 2x-3y=7 and 3x+4y=5 Solve the sys...

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  2. If A and B are matrices of order 3 such that abs[A]=-1,abs[B]=3,then...

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  3. If A=[[1,tanx],[-tanx,1]],Show that A^TA^(-1)=[[cos2x,-sin2x],[sin2x...

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  4. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

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  5. Consider the determinant Delta=abs[[x,x^2,1+x^3],[y,y^2,1+y^3],[z,z^2,...

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  6. The value of the determinant abs[[sin10,-cos10],[sin80,cos80]]is

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  7. Using properties of determinants, show that abs[[a,a^2,b+c],[b,b^2...

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  8. Choose the correct answer from the bracket.Consider a sqare matrix o...

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  9. Verify A(adjA)=(adjA)A=abs[A]I for the matrix A=[[5,-2],[3,-2]]that,...

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  10. Consider the following system of equations x+2y=4,2x+5y=9 If A=[[1...

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  11. Consider the following system of equations x+2y=4,2x+5y=9 Express ...

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  12. Consider the following system of equations x+2y=4,2x+5y=9 Find adj...

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  13. Consider the following system of equations x+2y=4,2x+5y=9 Solve th...

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  14. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find the area of Delt...

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  15. Consider the point A(-2,-3),B(3,2),C(-1,-8) Find third vertex of any...

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  16. Find the inverse of the following A=[[1,2,3],[0,2,4],[0,0,5]]

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  17. Find the inverse of the following A=[[1,0,0],[3,3,0],[5,2,-1]]

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  18. Find the inverse of the following A=[[2,1,3],[4,-1,0],[-7,2,1]]

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  19. Find the inverse of the following A=[[1,-1,2],[0,2,-3],[3,-2,4]]

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  20. Consider the system of equations 5x+2y=4,7x+3y=5.IfA=[[5,2],[7,3]],X...

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