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If matrix A=[1\ \ 2\ \ 3] , write AA^T ...

If matrix `A=[1\ \ 2\ \ 3]` , write `A``A^T` .

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RD SHARMA ENGLISH-ALGEBRA OF MATRICES-All Questions
  1. Find the value of y, if [(x-y,2),(x,5)]=[(2, 2 ),(3, 5)].

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  2. Find the value of x , if [(3x+y,-y),(2y-x,3)]=[(1, 2),(-5, 3)] .

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  3. If matrix A=[1\ \ 2\ \ 3] , write AA^T .

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  4. If [(2x+y,3y),(0, 4)]=[(6, 0),( 6, 4)] , then find x .

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  5. If A=[(1, 2 ),(3, 4)] , find A+A^T .

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  6. If [(a+b,2),( 5,b)]=[(6, 5),( 2, 2)] , then find adot

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  7. If A is a matrix of order 3xx4 and B is a matrix of order 4xx3 , find ...

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  8. If A=[(cosalpha,-sinalpha),(sinalpha,cosalpha)] is identity matrix, t...

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  9. If [(1, 2),( 3, 4)][(3, 1),( 2, 5)]=[(7, 11),( 23, k)] , then write t...

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  10. If I is the identity matrix and A is a square matrix such that A...

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

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

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

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

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

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

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

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

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

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

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