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Write the relation between x and y if th...

Write the relation between x and y if the points (a, 0), (0, b) and (x, y) are collinear.

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USHA PUBLICATION-MATRICES DETERMINANTS PROBABILITY -EXERCISE
  1. Find the value of abs([cos^2alpha, sin^2alpha+1,1],[cos^2beta,sin^2bet...

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  2. If |[x,1,1],[1,x,1],[1,1,x]|=0, then find the value (s) of x.

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  3. Write the relation between x and y if the points (a, 0), (0, b) and (x...

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  4. Answer the following: What is the value of x if [[x+1,1,1],[1,1,-...

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  5. Find x and y if abs([x,y],[1,1]|=2.|[x,3],[y,2])=1.

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  6. Answer the following: What is the value of x if [[4,1],[2,1]]^2=[[...

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  7. Find x,y if[[3,2],[7,x]][[5,-2],[-7,y]]=[[1,0],[0,1]].

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  8. Rectify the mistake : Matrix multiplication is commutative and associa...

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  9. If A=[x y z], B=[[x],[y],[z]], find AB and its order.

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  10. If matrix A is of order 3xx4 and matrix B is of order 4xx3, what is th...

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  11. If Ais a square matrix and absA=10, then find abs(A^-1).

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  12. If A=[[1,2],[3,-5]], find abs(adjA)absA.

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

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

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

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

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

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

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

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

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