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For what value of x is the matrix A=[(0,...

For what value of `x` is the matrix `A=[(0,1,-2),(1,0,3),(x,3,0)]` a skew-symmetric matrix?

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If [9-1 4-2 1 3]=A+[1 2-1 0 4 9] , then find matrix Adot

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  2. If [(a-b,2a+c),(2a-b,3c+d)]=[(-1, 5),( 0, 13)] , find the value of bd...

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  3. For what value of x is the matrix A=[(0,1,-2),(1,0,3),(x,3,0)] a skew-...

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  4. If matrix A=[(2,-2),(-2, 2)] and A^2=p A , then write the value of pdo...

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  5. If A is a square matrix such that A^2=A , then write the value of 7A-(...

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  6. If 2|(3, 4),( 5,x)|+|(1,y),(0, 1)|=|(7, 0),(10, 5)| , find x-y .

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  7. If [x\ \ 1][(1 ,0),(-2, 0)]=O , find xdot

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  8. If [a+4 3b8-6]=[2a+2b+2 8a-8b] , write the value of a-2b .

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  9. Write a 2xx2 matrix which is both symmetric and skew-symmetric.

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  10. If [(x y,4),(z+6,x+y)]=[(8,w),(0, 6)] , write the value of (x+y+z) .

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  11. Construct a 2xx2 matrix A=[a(i j)] whose elements a(i j) are given by ...

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  12. If [x+y x-y]=[2 1 4 3][1-2] , then write the value of (x ,\ y) .

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  13. Matrix A=[(0, 2b,-2) ,(3 ,1, 3), (3a,3,-1)] is given to be symmetric, ...

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  14. Write the number of all possible matrices of order 2xx2 with each e...

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  15. If [2\ \ 1\ \ 3][-1 0-1-1 1 0 0 1 1][1 0-1]=A , then write the order o...

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  16. If A=[3 5 7 9] is written as A=P+Q , where P is symmetric and Q is sk...

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  17. If A=[(1 ,0, 0),(0, 1,0),( a,b, -1)] , then A^2 is equal to (a) a n...

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  18. If A=[(i,0), (0,i)],\ n in N , then A^(4n) equals [(0,i), (i,0)] (b) ...

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  19. If A and B are two matrices such that A B=A and B A=B , then B^...

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  20. If A B=A and B A=B , where A and B are square matrices, then B^2=B ...

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