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If A is 2xx3 matrix and B is a matrix su...

If `A` is `2xx3` matrix and `B` is a matrix such that `A^T\ B` and `B A^T` both are defined, then what is the order of `B` ?

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. If I is the identity matrix and A is a square matrix such that A...

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  2. If A=[(1, 2),( 0, 3)] is written as B+C , where B is a symmetric ma...

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  3. If A is 2xx3 matrix and B is a matrix such that A^T\ B and B A^T both ...

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  4. What is the total number of 2xx2 matrices with each entry 0 or 1...

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  5. If |(x, x-y),(2x+y,7)|=|(3, 1),( 8, 7)| , then find the value of y

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  6. If a matrix has 5 elements, write all possible orders it can have.

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  7. For a 2xx2 matrix A=[a(i j)] whose elements are given by a(i j)=i/j...

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  8. If x [2 3]+y[-1 1]=[10 5] , find the value of x and y

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  9. If [9-1 4-2 1 3]=A+[1 2-1 0 4 9] , then find matrix Adot

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

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

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

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

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

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

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

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

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

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

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

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